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Finding the Third Proportional to 54,118 and 80,957

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Solution

The third proportional to 54,118 and 80,957 is: 121,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,118 : 80,957 = 80,957 : x
  2. Step 2: Convert to fraction form
    54,118/80,957 = 80,957/x
  3. Step 3: Cross multiply
    54,118x = 80,957 × 80,957
  4. Step 4: Simplify right side
    54,118x = 6,554,035,849
  5. Step 5: Solve for x
    x = 6,554,035,849/54,118
  6. Step 6: Final answer
    x = 121,106.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.