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Finding the Third Proportional to 106,850 and 166,108

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Solution

The third proportional to 106,850 and 166,108 is: 258,229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,850 : 166,108 = 166,108 : x
  2. Step 2: Convert to fraction form
    106,850/166,108 = 166,108/x
  3. Step 3: Cross multiply
    106,850x = 166,108 × 166,108
  4. Step 4: Simplify right side
    106,850x = 27,591,867,664
  5. Step 5: Solve for x
    x = 27,591,867,664/106,850
  6. Step 6: Final answer
    x = 258,229.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.