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Finding the Third Proportional to 83,400 and 181,542

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Solution

The third proportional to 83,400 and 181,542 is: 395,173.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,400 : 181,542 = 181,542 : x
  2. Step 2: Convert to fraction form
    83,400/181,542 = 181,542/x
  3. Step 3: Cross multiply
    83,400x = 181,542 × 181,542
  4. Step 4: Simplify right side
    83,400x = 32,957,497,764
  5. Step 5: Solve for x
    x = 32,957,497,764/83,400
  6. Step 6: Final answer
    x = 395,173.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.