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Harder inequality question (1 Viewer)

If $0<z\leq y\leq x \ \textrm{prove}$

$\frac{x^{2}y}{z} + \frac{y^{2}z}{x} + \frac{z^{2}x}{y} \geq x^{2} + y^{2} + z^{2}$

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