If \( a^{2}, b^{2}, c^{2} \) are in A.P., prove that \( \frac{a}{b+c}, \frac{b}{c+a}, \frac{c}{a...

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If \( a^{2}, b^{2}, c^{2} \) are in A.P., prove that \( \frac{a}{b+c}, \frac{b}{c+a}, \frac{c}{a+b} \) are in A.P.
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