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Finding the Third Proportional to 87,284 and 133,463

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Solution

The third proportional to 87,284 and 133,463 is: 204,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,284 : 133,463 = 133,463 : x
  2. Step 2: Convert to fraction form
    87,284/133,463 = 133,463/x
  3. Step 3: Cross multiply
    87,284x = 133,463 × 133,463
  4. Step 4: Simplify right side
    87,284x = 17,812,372,369
  5. Step 5: Solve for x
    x = 17,812,372,369/87,284
  6. Step 6: Final answer
    x = 204,073.74

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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.