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Finding the Third Proportional to 54,744 and 82,508

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Solution

The third proportional to 54,744 and 82,508 is: 124,352.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,744 : 82,508 = 82,508 : x
  2. Step 2: Convert to fraction form
    54,744/82,508 = 82,508/x
  3. Step 3: Cross multiply
    54,744x = 82,508 × 82,508
  4. Step 4: Simplify right side
    54,744x = 6,807,570,064
  5. Step 5: Solve for x
    x = 6,807,570,064/54,744
  6. Step 6: Final answer
    x = 124,352.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.