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Finding the Third Proportional to 47,198 and 71,161

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Solution

The third proportional to 47,198 and 71,161 is: 107,290.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,198 : 71,161 = 71,161 : x
  2. Step 2: Convert to fraction form
    47,198/71,161 = 71,161/x
  3. Step 3: Cross multiply
    47,198x = 71,161 × 71,161
  4. Step 4: Simplify right side
    47,198x = 5,063,887,921
  5. Step 5: Solve for x
    x = 5,063,887,921/47,198
  6. Step 6: Final answer
    x = 107,290.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.