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Finding the Third Proportional to 41,013 and 88,132.50

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Solution

The third proportional to 41,013 and 88,132.50 is: 189,387.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,013 : 88,132.50 = 88,132.50 : x
  2. Step 2: Convert to fraction form
    41,013/88,132.50 = 88,132.50/x
  3. Step 3: Cross multiply
    41,013x = 88,132.50 × 88,132.50
  4. Step 4: Simplify right side
    41,013x = 7,767,337,556.25
  5. Step 5: Solve for x
    x = 7,767,337,556.25/41,013
  6. Step 6: Final answer
    x = 189,387.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.