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a = (b +c)/2 ,c = (a +b)/2 and b is mean proportional of a and c, prove that 1/a +1/c = 2/b.

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a = (b +c)/2 ,c = (a +b)/2 and b is mean proportional of a and c, prove that 1/a +1/c = 2/b.

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b is the mean proportional of a and c 

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