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Finding the Third Proportional to 87,289 and 133,469

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Solution

The third proportional to 87,289 and 133,469 is: 204,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,289 : 133,469 = 133,469 : x
  2. Step 2: Convert to fraction form
    87,289/133,469 = 133,469/x
  3. Step 3: Cross multiply
    87,289x = 133,469 × 133,469
  4. Step 4: Simplify right side
    87,289x = 17,813,973,961
  5. Step 5: Solve for x
    x = 17,813,973,961/87,289
  6. Step 6: Final answer
    x = 204,080.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.