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Finding the Third Proportional to 87,736 and 192,132

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Solution

The third proportional to 87,736 and 192,132 is: 420,747.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,736 : 192,132 = 192,132 : x
  2. Step 2: Convert to fraction form
    87,736/192,132 = 192,132/x
  3. Step 3: Cross multiply
    87,736x = 192,132 × 192,132
  4. Step 4: Simplify right side
    87,736x = 36,914,705,424
  5. Step 5: Solve for x
    x = 36,914,705,424/87,736
  6. Step 6: Final answer
    x = 420,747.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.