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Finding the Third Proportional to 20,206 and 47,198

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Solution

The third proportional to 20,206 and 47,198 is: 110,247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206 : 47,198 = 47,198 : x
  2. Step 2: Convert to fraction form
    20,206/47,198 = 47,198/x
  3. Step 3: Cross multiply
    20,206x = 47,198 × 47,198
  4. Step 4: Simplify right side
    20,206x = 2,227,651,204
  5. Step 5: Solve for x
    x = 2,227,651,204/20,206
  6. Step 6: Final answer
    x = 110,247.02

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.