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Finding the Third Proportional to 87,032 and 131,241

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Solution

The third proportional to 87,032 and 131,241 is: 197,906.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,032 : 131,241 = 131,241 : x
  2. Step 2: Convert to fraction form
    87,032/131,241 = 131,241/x
  3. Step 3: Cross multiply
    87,032x = 131,241 × 131,241
  4. Step 4: Simplify right side
    87,032x = 17,224,200,081
  5. Step 5: Solve for x
    x = 17,224,200,081/87,032
  6. Step 6: Final answer
    x = 197,906.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.