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Finding the Third Proportional to 73,713.38 and 111,180.94

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Solution

The third proportional to 73,713.38 and 111,180.94 is: 167,692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,713.38 : 111,180.94 = 111,180.94 : x
  2. Step 2: Convert to fraction form
    73,713.38/111,180.94 = 111,180.94/x
  3. Step 3: Cross multiply
    73,713.38x = 111,180.94 × 111,180.94
  4. Step 4: Simplify right side
    73,713.38x = 12,361,200,863.38
  5. Step 5: Solve for x
    x = 12,361,200,863.38/73,713.38
  6. Step 6: Final answer
    x = 167,692.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.