Every game starts out with 72 baseballs. The average life of a baseball, is 6 putches, so if you take the average pitches thrown in a game 250 - 300, you get about 40 or 50 balls used in a game. A side note, every ball that will be used in a game has mud from Mississippi worked into the ball. This is why they are never bright white.
I would say about 85-90 baseballs are used in a game. I believe, if memory serves, Rawlings estimates closer to 112-120 balls per game. Average life span of a major league baseball is 7 pitches, so the actual number would depend on pitch count, foul balls, homeruns and players flipping souveniers to fans at the end of an inning.
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