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Finding the Third Proportional to 87,745.78 and 132,403.78

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Solution

The third proportional to 87,745.78 and 132,403.78 is: 199,790.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,745.78 : 132,403.78 = 132,403.78 : x
  2. Step 2: Convert to fraction form
    87,745.78/132,403.78 = 132,403.78/x
  3. Step 3: Cross multiply
    87,745.78x = 132,403.78 × 132,403.78
  4. Step 4: Simplify right side
    87,745.78x = 17,530,761,289.30
  5. Step 5: Solve for x
    x = 17,530,761,289.30/87,745.78
  6. Step 6: Final answer
    x = 199,790.36

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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.