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Finding the Third Proportional to 69,540.75 and 150,168.38

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Solution

The third proportional to 69,540.75 and 150,168.38 is: 324,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,540.75 : 150,168.38 = 150,168.38 : x
  2. Step 2: Convert to fraction form
    69,540.75/150,168.38 = 150,168.38/x
  3. Step 3: Cross multiply
    69,540.75x = 150,168.38 × 150,168.38
  4. Step 4: Simplify right side
    69,540.75x = 22,550,540,850.14
  5. Step 5: Solve for x
    x = 22,550,540,850.14/69,540.75
  6. Step 6: Final answer
    x = 324,278.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.