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Finding the Third Proportional to 70,571.25 and 151,375.50

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Solution

The third proportional to 70,571.25 and 151,375.50 is: 324,700.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,571.25 : 151,375.50 = 151,375.50 : x
  2. Step 2: Convert to fraction form
    70,571.25/151,375.50 = 151,375.50/x
  3. Step 3: Cross multiply
    70,571.25x = 151,375.50 × 151,375.50
  4. Step 4: Simplify right side
    70,571.25x = 22,914,542,000.25
  5. Step 5: Solve for x
    x = 22,914,542,000.25/70,571.25
  6. Step 6: Final answer
    x = 324,700.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.