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Finding the Third Proportional to 67,614.75 and 101,432.25

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Solution

The third proportional to 67,614.75 and 101,432.25 is: 152,163.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,614.75 : 101,432.25 = 101,432.25 : x
  2. Step 2: Convert to fraction form
    67,614.75/101,432.25 = 101,432.25/x
  3. Step 3: Cross multiply
    67,614.75x = 101,432.25 × 101,432.25
  4. Step 4: Simplify right side
    67,614.75x = 10,288,501,340.06
  5. Step 5: Solve for x
    x = 10,288,501,340.06/67,614.75
  6. Step 6: Final answer
    x = 152,163.56

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