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Finding the Third Proportional to 83,632 and 129,544

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Solution

The third proportional to 83,632 and 129,544 is: 200,660.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,632 : 129,544 = 129,544 : x
  2. Step 2: Convert to fraction form
    83,632/129,544 = 129,544/x
  3. Step 3: Cross multiply
    83,632x = 129,544 × 129,544
  4. Step 4: Simplify right side
    83,632x = 16,781,647,936
  5. Step 5: Solve for x
    x = 16,781,647,936/83,632
  6. Step 6: Final answer
    x = 200,660.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.