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Finding the Third Proportional to 20,161 and 43,238

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Solution

The third proportional to 20,161 and 43,238 is: 92,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,161 : 43,238 = 43,238 : x
  2. Step 2: Convert to fraction form
    20,161/43,238 = 43,238/x
  3. Step 3: Cross multiply
    20,161x = 43,238 × 43,238
  4. Step 4: Simplify right side
    20,161x = 1,869,524,644
  5. Step 5: Solve for x
    x = 1,869,524,644/20,161
  6. Step 6: Final answer
    x = 92,729.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.