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Finding the Third Proportional to 54,304 and 81,884

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Solution

The third proportional to 54,304 and 81,884 is: 123,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,304 : 81,884 = 81,884 : x
  2. Step 2: Convert to fraction form
    54,304/81,884 = 81,884/x
  3. Step 3: Cross multiply
    54,304x = 81,884 × 81,884
  4. Step 4: Simplify right side
    54,304x = 6,704,989,456
  5. Step 5: Solve for x
    x = 6,704,989,456/54,304
  6. Step 6: Final answer
    x = 123,471.37

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Why These Related Problems?

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