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Finding the Third Proportional to 54,057.38 and 80,643.09

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Solution

The third proportional to 54,057.38 and 80,643.09 is: 120,303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,057.38 : 80,643.09 = 80,643.09 : x
  2. Step 2: Convert to fraction form
    54,057.38/80,643.09 = 80,643.09/x
  3. Step 3: Cross multiply
    54,057.38x = 80,643.09 × 80,643.09
  4. Step 4: Simplify right side
    54,057.38x = 6,503,308,569.57
  5. Step 5: Solve for x
    x = 6,503,308,569.57/54,057.38
  6. Step 6: Final answer
    x = 120,303.82

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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.