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Finding the Third Proportional to 37,231 and 75,542

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Solution

The third proportional to 37,231 and 75,542 is: 153,275.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,231 : 75,542 = 75,542 : x
  2. Step 2: Convert to fraction form
    37,231/75,542 = 75,542/x
  3. Step 3: Cross multiply
    37,231x = 75,542 × 75,542
  4. Step 4: Simplify right side
    37,231x = 5,706,593,764
  5. Step 5: Solve for x
    x = 5,706,593,764/37,231
  6. Step 6: Final answer
    x = 153,275.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.