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Finding the Third Proportional to 87,293 and 133,475

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Solution

The third proportional to 87,293 and 133,475 is: 204,089.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,293 : 133,475 = 133,475 : x
  2. Step 2: Convert to fraction form
    87,293/133,475 = 133,475/x
  3. Step 3: Cross multiply
    87,293x = 133,475 × 133,475
  4. Step 4: Simplify right side
    87,293x = 17,815,575,625
  5. Step 5: Solve for x
    x = 17,815,575,625/87,293
  6. Step 6: Final answer
    x = 204,089.40

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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.