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Finding the Third Proportional to 67,742.25 and 103,380.75

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Solution

The third proportional to 67,742.25 and 103,380.75 is: 157,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,742.25 : 103,380.75 = 103,380.75 : x
  2. Step 2: Convert to fraction form
    67,742.25/103,380.75 = 103,380.75/x
  3. Step 3: Cross multiply
    67,742.25x = 103,380.75 × 103,380.75
  4. Step 4: Simplify right side
    67,742.25x = 10,687,579,470.56
  5. Step 5: Solve for x
    x = 10,687,579,470.56/67,742.25
  6. Step 6: Final answer
    x = 157,768.30

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Why These Related Problems?

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