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Finding the Third Proportional to 54,941 and 82,375

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Solution

The third proportional to 54,941 and 82,375 is: 123,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,941 : 82,375 = 82,375 : x
  2. Step 2: Convert to fraction form
    54,941/82,375 = 82,375/x
  3. Step 3: Cross multiply
    54,941x = 82,375 × 82,375
  4. Step 4: Simplify right side
    54,941x = 6,785,640,625
  5. Step 5: Solve for x
    x = 6,785,640,625/54,941
  6. Step 6: Final answer
    x = 123,507.77

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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.