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Finding the Third Proportional to 37,292 and 72,691

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Solution

The third proportional to 37,292 and 72,691 is: 141,692.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,292 : 72,691 = 72,691 : x
  2. Step 2: Convert to fraction form
    37,292/72,691 = 72,691/x
  3. Step 3: Cross multiply
    37,292x = 72,691 × 72,691
  4. Step 4: Simplify right side
    37,292x = 5,283,981,481
  5. Step 5: Solve for x
    x = 5,283,981,481/37,292
  6. Step 6: Final answer
    x = 141,692.09

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.