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Finding the Third Proportional to 33,147 and 68,206

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Solution

The third proportional to 33,147 and 68,206 is: 140,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,147 : 68,206 = 68,206 : x
  2. Step 2: Convert to fraction form
    33,147/68,206 = 68,206/x
  3. Step 3: Cross multiply
    33,147x = 68,206 × 68,206
  4. Step 4: Simplify right side
    33,147x = 4,652,058,436
  5. Step 5: Solve for x
    x = 4,652,058,436/33,147
  6. Step 6: Final answer
    x = 140,346.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.