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Finding the Third Proportional to 62,849 and 132,161

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Solution

The third proportional to 62,849 and 132,161 is: 277,912.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,849 : 132,161 = 132,161 : x
  2. Step 2: Convert to fraction form
    62,849/132,161 = 132,161/x
  3. Step 3: Cross multiply
    62,849x = 132,161 × 132,161
  4. Step 4: Simplify right side
    62,849x = 17,466,529,921
  5. Step 5: Solve for x
    x = 17,466,529,921/62,849
  6. Step 6: Final answer
    x = 277,912.61

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Why These Related Problems?

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