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Finding the Third Proportional to 54,289.88 and 83,049.38

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Solution

The third proportional to 54,289.88 and 83,049.38 is: 127,043.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,289.88 : 83,049.38 = 83,049.38 : x
  2. Step 2: Convert to fraction form
    54,289.88/83,049.38 = 83,049.38/x
  3. Step 3: Cross multiply
    54,289.88x = 83,049.38 × 83,049.38
  4. Step 4: Simplify right side
    54,289.88x = 6,897,198,687.89
  5. Step 5: Solve for x
    x = 6,897,198,687.89/54,289.88
  6. Step 6: Final answer
    x = 127,043.92

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.