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Finding the Third Proportional to 106,881 and 169,234

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Solution

The third proportional to 106,881 and 169,234 is: 267,962.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,881 : 169,234 = 169,234 : x
  2. Step 2: Convert to fraction form
    106,881/169,234 = 169,234/x
  3. Step 3: Cross multiply
    106,881x = 169,234 × 169,234
  4. Step 4: Simplify right side
    106,881x = 28,640,146,756
  5. Step 5: Solve for x
    x = 28,640,146,756/106,881
  6. Step 6: Final answer
    x = 267,962.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.