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If `A(1/B + 1/C), B(1/C+1/A), C(1/A+1/B)` Are in A.P., Prove That A, B, C Are in Arithmetic Progression

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if `a(1/b + 1/c), b(1/c+1/a), c(1/a+1/b)` are in A.P., prove that a, b, c are in A.P.

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