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Finding the Third Proportional to 80,439 and 171,561

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Solution

The third proportional to 80,439 and 171,561 is: 365,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,439 : 171,561 = 171,561 : x
  2. Step 2: Convert to fraction form
    80,439/171,561 = 171,561/x
  3. Step 3: Cross multiply
    80,439x = 171,561 × 171,561
  4. Step 4: Simplify right side
    80,439x = 29,433,176,721
  5. Step 5: Solve for x
    x = 29,433,176,721/80,439
  6. Step 6: Final answer
    x = 365,906.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.