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Finding the Third Proportional to 83,792 and 129,424

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Solution

The third proportional to 83,792 and 129,424 is: 199,906.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,792 : 129,424 = 129,424 : x
  2. Step 2: Convert to fraction form
    83,792/129,424 = 129,424/x
  3. Step 3: Cross multiply
    83,792x = 129,424 × 129,424
  4. Step 4: Simplify right side
    83,792x = 16,750,571,776
  5. Step 5: Solve for x
    x = 16,750,571,776/83,792
  6. Step 6: Final answer
    x = 199,906.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.