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Finding the Third Proportional to 54,452.75 and 81,675.75

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Solution

The third proportional to 54,452.75 and 81,675.75 is: 122,508.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,452.75 : 81,675.75 = 81,675.75 : x
  2. Step 2: Convert to fraction form
    54,452.75/81,675.75 = 81,675.75/x
  3. Step 3: Cross multiply
    54,452.75x = 81,675.75 × 81,675.75
  4. Step 4: Simplify right side
    54,452.75x = 6,670,928,138.06
  5. Step 5: Solve for x
    x = 6,670,928,138.06/54,452.75
  6. Step 6: Final answer
    x = 122,508.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.