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Finding the Third Proportional to 87,419 and 181,060

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Solution

The third proportional to 87,419 and 181,060 is: 375,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,419 : 181,060 = 181,060 : x
  2. Step 2: Convert to fraction form
    87,419/181,060 = 181,060/x
  3. Step 3: Cross multiply
    87,419x = 181,060 × 181,060
  4. Step 4: Simplify right side
    87,419x = 32,782,723,600
  5. Step 5: Solve for x
    x = 32,782,723,600/87,419
  6. Step 6: Final answer
    x = 375,006.85

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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.