The episode in which Chi Chi and Goku fight is episode 137. It's also the episode in which Chi Chi becomes Goku's fiancee.
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Its one fight goku wont win. chi chi
They dont. Goku accidentally proposes.
they get married on the last episode of dragon ball when goku has to save chi-chi's father from burning in the flaming castle episode 153
Dragon Ball 134 Preliminary Peril
They get married in episode 153 The End, The Beginning of Dragonball