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Finding the Third Proportional to 62,292 and 89,542

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Solution

The third proportional to 62,292 and 89,542 is: 128,712.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,292 : 89,542 = 89,542 : x
  2. Step 2: Convert to fraction form
    62,292/89,542 = 89,542/x
  3. Step 3: Cross multiply
    62,292x = 89,542 × 89,542
  4. Step 4: Simplify right side
    62,292x = 8,017,769,764
  5. Step 5: Solve for x
    x = 8,017,769,764/62,292
  6. Step 6: Final answer
    x = 128,712.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.