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Finding the Third Proportional to 87,471 and 181,165

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Solution

The third proportional to 87,471 and 181,165 is: 375,218.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,471 : 181,165 = 181,165 : x
  2. Step 2: Convert to fraction form
    87,471/181,165 = 181,165/x
  3. Step 3: Cross multiply
    87,471x = 181,165 × 181,165
  4. Step 4: Simplify right side
    87,471x = 32,820,757,225
  5. Step 5: Solve for x
    x = 32,820,757,225/87,471
  6. Step 6: Final answer
    x = 375,218.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.