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Finding the Third Proportional to 87,708.75 and 132,352.50

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Solution

The third proportional to 87,708.75 and 132,352.50 is: 199,719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,708.75 : 132,352.50 = 132,352.50 : x
  2. Step 2: Convert to fraction form
    87,708.75/132,352.50 = 132,352.50/x
  3. Step 3: Cross multiply
    87,708.75x = 132,352.50 × 132,352.50
  4. Step 4: Simplify right side
    87,708.75x = 17,517,184,256.25
  5. Step 5: Solve for x
    x = 17,517,184,256.25/87,708.75
  6. Step 6: Final answer
    x = 199,719.92

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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.