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Finding the Third Proportional to 131,605 and 192,493

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Solution

The third proportional to 131,605 and 192,493 is: 281,551.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,605 : 192,493 = 192,493 : x
  2. Step 2: Convert to fraction form
    131,605/192,493 = 192,493/x
  3. Step 3: Cross multiply
    131,605x = 192,493 × 192,493
  4. Step 4: Simplify right side
    131,605x = 37,053,555,049
  5. Step 5: Solve for x
    x = 37,053,555,049/131,605
  6. Step 6: Final answer
    x = 281,551.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.