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Finding the Third Proportional to 50,227 and 105,626

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Solution

The third proportional to 50,227 and 105,626 is: 222,128.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,227 : 105,626 = 105,626 : x
  2. Step 2: Convert to fraction form
    50,227/105,626 = 105,626/x
  3. Step 3: Cross multiply
    50,227x = 105,626 × 105,626
  4. Step 4: Simplify right side
    50,227x = 11,156,851,876
  5. Step 5: Solve for x
    x = 11,156,851,876/50,227
  6. Step 6: Final answer
    x = 222,128.57

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.