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Finding the Third Proportional to 54,132 and 80,924

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Solution

The third proportional to 54,132 and 80,924 is: 120,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,132 : 80,924 = 80,924 : x
  2. Step 2: Convert to fraction form
    54,132/80,924 = 80,924/x
  3. Step 3: Cross multiply
    54,132x = 80,924 × 80,924
  4. Step 4: Simplify right side
    54,132x = 6,548,693,776
  5. Step 5: Solve for x
    x = 6,548,693,776/54,132
  6. Step 6: Final answer
    x = 120,976.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.