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Finding the Third Proportional to 32,966 and 68,267

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Solution

The third proportional to 32,966 and 68,267 is: 141,369.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,966 : 68,267 = 68,267 : x
  2. Step 2: Convert to fraction form
    32,966/68,267 = 68,267/x
  3. Step 3: Cross multiply
    32,966x = 68,267 × 68,267
  4. Step 4: Simplify right side
    32,966x = 4,660,383,289
  5. Step 5: Solve for x
    x = 4,660,383,289/32,966
  6. Step 6: Final answer
    x = 141,369.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.