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Finding the Third Proportional to 50,236 and 68,227

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Solution

The third proportional to 50,236 and 68,227 is: 92,661.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,236 : 68,227 = 68,227 : x
  2. Step 2: Convert to fraction form
    50,236/68,227 = 68,227/x
  3. Step 3: Cross multiply
    50,236x = 68,227 × 68,227
  4. Step 4: Simplify right side
    50,236x = 4,654,923,529
  5. Step 5: Solve for x
    x = 4,654,923,529/50,236
  6. Step 6: Final answer
    x = 92,661.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.