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Finding the Third Proportional to 106,851 and 166,110

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Solution

The third proportional to 106,851 and 166,110 is: 258,233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,851 : 166,110 = 166,110 : x
  2. Step 2: Convert to fraction form
    106,851/166,110 = 166,110/x
  3. Step 3: Cross multiply
    106,851x = 166,110 × 166,110
  4. Step 4: Simplify right side
    106,851x = 27,592,532,100
  5. Step 5: Solve for x
    x = 27,592,532,100/106,851
  6. Step 6: Final answer
    x = 258,233.73

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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.