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Finding the Third Proportional to 71,374 and 106,882

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Solution

The third proportional to 71,374 and 106,882 is: 160,054.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,374 : 106,882 = 106,882 : x
  2. Step 2: Convert to fraction form
    71,374/106,882 = 106,882/x
  3. Step 3: Cross multiply
    71,374x = 106,882 × 106,882
  4. Step 4: Simplify right side
    71,374x = 11,423,761,924
  5. Step 5: Solve for x
    x = 11,423,761,924/71,374
  6. Step 6: Final answer
    x = 160,054.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.