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Finding the Third Proportional to 52,252 and 101,876

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Solution

The third proportional to 52,252 and 101,876 is: 198,628.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,252 : 101,876 = 101,876 : x
  2. Step 2: Convert to fraction form
    52,252/101,876 = 101,876/x
  3. Step 3: Cross multiply
    52,252x = 101,876 × 101,876
  4. Step 4: Simplify right side
    52,252x = 10,378,719,376
  5. Step 5: Solve for x
    x = 10,378,719,376/52,252
  6. Step 6: Final answer
    x = 198,628.17

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.