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Finding the Third Proportional to 40,520.25 and 87,282.56

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Solution

The third proportional to 40,520.25 and 87,282.56 is: 188,010.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,520.25 : 87,282.56 = 87,282.56 : x
  2. Step 2: Convert to fraction form
    40,520.25/87,282.56 = 87,282.56/x
  3. Step 3: Cross multiply
    40,520.25x = 87,282.56 × 87,282.56
  4. Step 4: Simplify right side
    40,520.25x = 7,618,245,716.57
  5. Step 5: Solve for x
    x = 7,618,245,716.57/40,520.25
  6. Step 6: Final answer
    x = 188,010.83

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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.