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Finding the Third Proportional to 50,876 and 106,396

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Solution

The third proportional to 50,876 and 106,396 is: 222,503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,876 : 106,396 = 106,396 : x
  2. Step 2: Convert to fraction form
    50,876/106,396 = 106,396/x
  3. Step 3: Cross multiply
    50,876x = 106,396 × 106,396
  4. Step 4: Simplify right side
    50,876x = 11,320,108,816
  5. Step 5: Solve for x
    x = 11,320,108,816/50,876
  6. Step 6: Final answer
    x = 222,503.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.