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Finding the Third Proportional to 54,338 and 80,931

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Solution

The third proportional to 54,338 and 80,931 is: 120,538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,338 : 80,931 = 80,931 : x
  2. Step 2: Convert to fraction form
    54,338/80,931 = 80,931/x
  3. Step 3: Cross multiply
    54,338x = 80,931 × 80,931
  4. Step 4: Simplify right side
    54,338x = 6,549,826,761
  5. Step 5: Solve for x
    x = 6,549,826,761/54,338
  6. Step 6: Final answer
    x = 120,538.61

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