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Finding the Third Proportional to 87,280 and 133,456

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Solution

The third proportional to 87,280 and 133,456 is: 204,061.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,280 : 133,456 = 133,456 : x
  2. Step 2: Convert to fraction form
    87,280/133,456 = 133,456/x
  3. Step 3: Cross multiply
    87,280x = 133,456 × 133,456
  4. Step 4: Simplify right side
    87,280x = 17,810,503,936
  5. Step 5: Solve for x
    x = 17,810,503,936/87,280
  6. Step 6: Final answer
    x = 204,061.69

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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.