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Finding the Third Proportional to 126,211.92 and 272,491.59

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Solution

The third proportional to 126,211.92 and 272,491.59 is: 588,309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,211.92 : 272,491.59 = 272,491.59 : x
  2. Step 2: Convert to fraction form
    126,211.92/272,491.59 = 272,491.59/x
  3. Step 3: Cross multiply
    126,211.92x = 272,491.59 × 272,491.59
  4. Step 4: Simplify right side
    126,211.92x = 74,251,668,664.42
  5. Step 5: Solve for x
    x = 74,251,668,664.42/126,211.92
  6. Step 6: Final answer
    x = 588,309.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.