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Finding the Third Proportional to 54,020.25 and 71,682.75

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Solution

The third proportional to 54,020.25 and 71,682.75 is: 95,120.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,020.25 : 71,682.75 = 71,682.75 : x
  2. Step 2: Convert to fraction form
    54,020.25/71,682.75 = 71,682.75/x
  3. Step 3: Cross multiply
    54,020.25x = 71,682.75 × 71,682.75
  4. Step 4: Simplify right side
    54,020.25x = 5,138,416,647.56
  5. Step 5: Solve for x
    x = 5,138,416,647.56/54,020.25
  6. Step 6: Final answer
    x = 95,120.19

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.