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Finding the Third Proportional to 87,356 and 181,624

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Solution

The third proportional to 87,356 and 181,624 is: 377,618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,356 : 181,624 = 181,624 : x
  2. Step 2: Convert to fraction form
    87,356/181,624 = 181,624/x
  3. Step 3: Cross multiply
    87,356x = 181,624 × 181,624
  4. Step 4: Simplify right side
    87,356x = 32,987,277,376
  5. Step 5: Solve for x
    x = 32,987,277,376/87,356
  6. Step 6: Final answer
    x = 377,618.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.