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Finding the Third Proportional to 52,198 and 110,876

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Solution

The third proportional to 52,198 and 110,876 is: 235,516.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,198 : 110,876 = 110,876 : x
  2. Step 2: Convert to fraction form
    52,198/110,876 = 110,876/x
  3. Step 3: Cross multiply
    52,198x = 110,876 × 110,876
  4. Step 4: Simplify right side
    52,198x = 12,293,487,376
  5. Step 5: Solve for x
    x = 12,293,487,376/52,198
  6. Step 6: Final answer
    x = 235,516.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.