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Finding the Third Proportional to 67,734.25 and 100,620.75

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Solution

The third proportional to 67,734.25 and 100,620.75 is: 149,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,734.25 : 100,620.75 = 100,620.75 : x
  2. Step 2: Convert to fraction form
    67,734.25/100,620.75 = 100,620.75/x
  3. Step 3: Cross multiply
    67,734.25x = 100,620.75 × 100,620.75
  4. Step 4: Simplify right side
    67,734.25x = 10,124,535,330.56
  5. Step 5: Solve for x
    x = 10,124,535,330.56/67,734.25
  6. Step 6: Final answer
    x = 149,474.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.