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Finding the Third Proportional to 50,503 and 106,227

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Solution

The third proportional to 50,503 and 106,227 is: 223,435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,503 : 106,227 = 106,227 : x
  2. Step 2: Convert to fraction form
    50,503/106,227 = 106,227/x
  3. Step 3: Cross multiply
    50,503x = 106,227 × 106,227
  4. Step 4: Simplify right side
    50,503x = 11,284,175,529
  5. Step 5: Solve for x
    x = 11,284,175,529/50,503
  6. Step 6: Final answer
    x = 223,435.75

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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.