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If a(1/b +1/c) , b (1/c +1/a),c(1/a +1/...

If ` a(1/b +1/c) , b (1/c +1/a),c(1/a +1/b)` are in AP , prove tht ` a^(2)(b+c) ,b^(2) (c+a) , c^(2) (a+b)` are in AP.

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