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Finding the Third Proportional to 33,165 and 68,274

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Solution

The third proportional to 33,165 and 68,274 is: 140,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,165 : 68,274 = 68,274 : x
  2. Step 2: Convert to fraction form
    33,165/68,274 = 68,274/x
  3. Step 3: Cross multiply
    33,165x = 68,274 × 68,274
  4. Step 4: Simplify right side
    33,165x = 4,661,339,076
  5. Step 5: Solve for x
    x = 4,661,339,076/33,165
  6. Step 6: Final answer
    x = 140,549.95

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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.