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Finding the Third Proportional to 87,770.50 and 132,428.75

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Solution

The third proportional to 87,770.50 and 132,428.75 is: 199,809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,770.50 : 132,428.75 = 132,428.75 : x
  2. Step 2: Convert to fraction form
    87,770.50/132,428.75 = 132,428.75/x
  3. Step 3: Cross multiply
    87,770.50x = 132,428.75 × 132,428.75
  4. Step 4: Simplify right side
    87,770.50x = 17,537,373,826.56
  5. Step 5: Solve for x
    x = 17,537,373,826.56/87,770.50
  6. Step 6: Final answer
    x = 199,809.43

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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.