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Finding the Third Proportional to 54,744.75 and 82,361.25

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Solution

The third proportional to 54,744.75 and 82,361.25 is: 123,909.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,744.75 : 82,361.25 = 82,361.25 : x
  2. Step 2: Convert to fraction form
    54,744.75/82,361.25 = 82,361.25/x
  3. Step 3: Cross multiply
    54,744.75x = 82,361.25 × 82,361.25
  4. Step 4: Simplify right side
    54,744.75x = 6,783,375,501.56
  5. Step 5: Solve for x
    x = 6,783,375,501.56/54,744.75
  6. Step 6: Final answer
    x = 123,909.15

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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.