I can't get it in that form!

Algebra Level 5

Let \(x,y\) and \(z\) be positive reals satisfying \[x+y+z+xy+yz+xz=\frac{6051}{2}.\] Find the minimum of the expression below. \[\dfrac{x^{2}y}{z}+\dfrac{y^{2}z}{x}+\dfrac{z^{2}x}{y}\]

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