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Finding the Third Proportional to 29,227 and 62,099

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Solution

The third proportional to 29,227 and 62,099 is: 131,942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,227 : 62,099 = 62,099 : x
  2. Step 2: Convert to fraction form
    29,227/62,099 = 62,099/x
  3. Step 3: Cross multiply
    29,227x = 62,099 × 62,099
  4. Step 4: Simplify right side
    29,227x = 3,856,285,801
  5. Step 5: Solve for x
    x = 3,856,285,801/29,227
  6. Step 6: Final answer
    x = 131,942.58

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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.