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Finding the Third Proportional to 87,462 and 134,469

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Solution

The third proportional to 87,462 and 134,469 is: 206,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,462 : 134,469 = 134,469 : x
  2. Step 2: Convert to fraction form
    87,462/134,469 = 134,469/x
  3. Step 3: Cross multiply
    87,462x = 134,469 × 134,469
  4. Step 4: Simplify right side
    87,462x = 18,081,911,961
  5. Step 5: Solve for x
    x = 18,081,911,961/87,462
  6. Step 6: Final answer
    x = 206,740.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.