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Finding the Third Proportional to 67,832 and 164,107

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Solution

The third proportional to 67,832 and 164,107 is: 397,026.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,832 : 164,107 = 164,107 : x
  2. Step 2: Convert to fraction form
    67,832/164,107 = 164,107/x
  3. Step 3: Cross multiply
    67,832x = 164,107 × 164,107
  4. Step 4: Simplify right side
    67,832x = 26,931,107,449
  5. Step 5: Solve for x
    x = 26,931,107,449/67,832
  6. Step 6: Final answer
    x = 397,026.59

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.