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Finding the Third Proportional to 54,083.25 and 80,674.88

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Solution

The third proportional to 54,083.25 and 80,674.88 is: 120,341.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,083.25 : 80,674.88 = 80,674.88 : x
  2. Step 2: Convert to fraction form
    54,083.25/80,674.88 = 80,674.88/x
  3. Step 3: Cross multiply
    54,083.25x = 80,674.88 × 80,674.88
  4. Step 4: Simplify right side
    54,083.25x = 6,508,435,456.27
  5. Step 5: Solve for x
    x = 6,508,435,456.27/54,083.25
  6. Step 6: Final answer
    x = 120,341.06

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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.