Taka is like the "real world's" version of Tamahome. Since Tamahome lives in a book called 'The Universe of the Four Gods'. Think of Taka as Tamahome or Tamahome's Reincarnation in the real world who's lives with Miaka in her world and remermbers her from "The Universe of the Four Gods" Book.
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In Fushigi Yuugi, Tamahome is Miaka's partner. Later on, since Miaka and Tamahome couldn't stay together in the same dimensions (Miaka had to go back to her dimension when she had fulfilled her role as priestess of Zuzaku and Tamahome didn't exist in her dimension and if stayed would disappear.), Miaka went back home, and Tamahome was reincarnated into Taka in her dimension so they could stay together (though had a little trouble at first finding each other). So now Taka is her partner.
Not in the manga, neither in the anime. She get's pregnant in the OVA's though...but she has the baby girl in the last episode of the OVA's.
In the Anime and the Manga (if my memory is correct) Miaka pretty much ends up marrying Taka (who is the reincarnation of Tamahome from the book called 'The Universe of the Four Gods'.
I don't really know exactly. I used to always read fushigi yuugi genbu kaiden in 2008, but then yuu watase suddenly stopped drawing and publishing. Finally, July 14, 2010, she finally continued. Now, it has been licensed in the united states by viz media, meaning there is a chance for it to become an anime. If your unaware, viz media is a production that brought us the number 1 hit anime series Naruto and Naruto Shippuden, as well as Bleach, Inuyasha, and one piece. They are very famous with their work. I love all of their shows (except one piece)! ^_^
TAKA