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Finding the Third Proportional to 23,722 and 50,177

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Solution

The third proportional to 23,722 and 50,177 is: 106,134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,722 : 50,177 = 50,177 : x
  2. Step 2: Convert to fraction form
    23,722/50,177 = 50,177/x
  3. Step 3: Cross multiply
    23,722x = 50,177 × 50,177
  4. Step 4: Simplify right side
    23,722x = 2,517,731,329
  5. Step 5: Solve for x
    x = 2,517,731,329/23,722
  6. Step 6: Final answer
    x = 106,134.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.