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Finding the Third Proportional to 67,827.38 and 111,339.56

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Solution

The third proportional to 67,827.38 and 111,339.56 is: 182,765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,827.38 : 111,339.56 = 111,339.56 : x
  2. Step 2: Convert to fraction form
    67,827.38/111,339.56 = 111,339.56/x
  3. Step 3: Cross multiply
    67,827.38x = 111,339.56 × 111,339.56
  4. Step 4: Simplify right side
    67,827.38x = 12,396,498,177.69
  5. Step 5: Solve for x
    x = 12,396,498,177.69/67,827.38
  6. Step 6: Final answer
    x = 182,765.41

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.