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Finding the Third Proportional to 87,277 and 133,454

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Solution

The third proportional to 87,277 and 133,454 is: 204,062.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,277 : 133,454 = 133,454 : x
  2. Step 2: Convert to fraction form
    87,277/133,454 = 133,454/x
  3. Step 3: Cross multiply
    87,277x = 133,454 × 133,454
  4. Step 4: Simplify right side
    87,277x = 17,809,970,116
  5. Step 5: Solve for x
    x = 17,809,970,116/87,277
  6. Step 6: Final answer
    x = 204,062.58

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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.