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Finding the Third Proportional to 71,049 and 109,198

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Solution

The third proportional to 71,049 and 109,198 is: 167,830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,049 : 109,198 = 109,198 : x
  2. Step 2: Convert to fraction form
    71,049/109,198 = 109,198/x
  3. Step 3: Cross multiply
    71,049x = 109,198 × 109,198
  4. Step 4: Simplify right side
    71,049x = 11,924,203,204
  5. Step 5: Solve for x
    x = 11,924,203,204/71,049
  6. Step 6: Final answer
    x = 167,830.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.