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Finding the Third Proportional to 87,794 and 132,455

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Solution

The third proportional to 87,794 and 132,455 is: 199,835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,794 : 132,455 = 132,455 : x
  2. Step 2: Convert to fraction form
    87,794/132,455 = 132,455/x
  3. Step 3: Cross multiply
    87,794x = 132,455 × 132,455
  4. Step 4: Simplify right side
    87,794x = 17,544,327,025
  5. Step 5: Solve for x
    x = 17,544,327,025/87,794
  6. Step 6: Final answer
    x = 199,835.15

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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.