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Finding the Third Proportional to 74,414.25 and 111,786.75

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Solution

The third proportional to 74,414.25 and 111,786.75 is: 167,928.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,414.25 : 111,786.75 = 111,786.75 : x
  2. Step 2: Convert to fraction form
    74,414.25/111,786.75 = 111,786.75/x
  3. Step 3: Cross multiply
    74,414.25x = 111,786.75 × 111,786.75
  4. Step 4: Simplify right side
    74,414.25x = 12,496,277,475.56
  5. Step 5: Solve for x
    x = 12,496,277,475.56/74,414.25
  6. Step 6: Final answer
    x = 167,928.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.