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Finding the Third Proportional to 95,923 and 150,474

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Solution

The third proportional to 95,923 and 150,474 is: 236,047.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,923 : 150,474 = 150,474 : x
  2. Step 2: Convert to fraction form
    95,923/150,474 = 150,474/x
  3. Step 3: Cross multiply
    95,923x = 150,474 × 150,474
  4. Step 4: Simplify right side
    95,923x = 22,642,424,676
  5. Step 5: Solve for x
    x = 22,642,424,676/95,923
  6. Step 6: Final answer
    x = 236,047.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.