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Finding the Third Proportional to 80,389.97 and 171,456.75

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Solution

The third proportional to 80,389.97 and 171,456.75 is: 365,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,389.97 : 171,456.75 = 171,456.75 : x
  2. Step 2: Convert to fraction form
    80,389.97/171,456.75 = 171,456.75/x
  3. Step 3: Cross multiply
    80,389.97x = 171,456.75 × 171,456.75
  4. Step 4: Simplify right side
    80,389.97x = 29,397,417,120.56
  5. Step 5: Solve for x
    x = 29,397,417,120.56/80,389.97
  6. Step 6: Final answer
    x = 365,685.14

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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.