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Finding the Third Proportional to 83,399 and 129,330

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Solution

The third proportional to 83,399 and 129,330 is: 200,556.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,399 : 129,330 = 129,330 : x
  2. Step 2: Convert to fraction form
    83,399/129,330 = 129,330/x
  3. Step 3: Cross multiply
    83,399x = 129,330 × 129,330
  4. Step 4: Simplify right side
    83,399x = 16,726,248,900
  5. Step 5: Solve for x
    x = 16,726,248,900/83,399
  6. Step 6: Final answer
    x = 200,556.95

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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.