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Finding the Third Proportional to 135,723 and 187,542

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Solution

The third proportional to 135,723 and 187,542 is: 259,145.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,723 : 187,542 = 187,542 : x
  2. Step 2: Convert to fraction form
    135,723/187,542 = 187,542/x
  3. Step 3: Cross multiply
    135,723x = 187,542 × 187,542
  4. Step 4: Simplify right side
    135,723x = 35,172,001,764
  5. Step 5: Solve for x
    x = 35,172,001,764/135,723
  6. Step 6: Final answer
    x = 259,145.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.