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Finding the Third Proportional to 87,594 and 181,419

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Solution

The third proportional to 87,594 and 181,419 is: 375,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,594 : 181,419 = 181,419 : x
  2. Step 2: Convert to fraction form
    87,594/181,419 = 181,419/x
  3. Step 3: Cross multiply
    87,594x = 181,419 × 181,419
  4. Step 4: Simplify right side
    87,594x = 32,912,853,561
  5. Step 5: Solve for x
    x = 32,912,853,561/87,594
  6. Step 6: Final answer
    x = 375,743.24

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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.