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Finding the Third Proportional to 31,179 and 67,107

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Solution

The third proportional to 31,179 and 67,107 is: 144,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,179 : 67,107 = 67,107 : x
  2. Step 2: Convert to fraction form
    31,179/67,107 = 67,107/x
  3. Step 3: Cross multiply
    31,179x = 67,107 × 67,107
  4. Step 4: Simplify right side
    31,179x = 4,503,349,449
  5. Step 5: Solve for x
    x = 4,503,349,449/31,179
  6. Step 6: Final answer
    x = 144,435.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.