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Finding the Third Proportional to 33,406 and 68,172

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Solution

The third proportional to 33,406 and 68,172 is: 139,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,406 : 68,172 = 68,172 : x
  2. Step 2: Convert to fraction form
    33,406/68,172 = 68,172/x
  3. Step 3: Cross multiply
    33,406x = 68,172 × 68,172
  4. Step 4: Simplify right side
    33,406x = 4,647,421,584
  5. Step 5: Solve for x
    x = 4,647,421,584/33,406
  6. Step 6: Final answer
    x = 139,119.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.