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Finding the Third Proportional to 54,497 and 75,048

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Solution

The third proportional to 54,497 and 75,048 is: 103,348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,497 : 75,048 = 75,048 : x
  2. Step 2: Convert to fraction form
    54,497/75,048 = 75,048/x
  3. Step 3: Cross multiply
    54,497x = 75,048 × 75,048
  4. Step 4: Simplify right side
    54,497x = 5,632,202,304
  5. Step 5: Solve for x
    x = 5,632,202,304/54,497
  6. Step 6: Final answer
    x = 103,348.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.