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Finding the Third Proportional to 104,910 and 166,375

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Solution

The third proportional to 104,910 and 166,375 is: 263,851.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,910 : 166,375 = 166,375 : x
  2. Step 2: Convert to fraction form
    104,910/166,375 = 166,375/x
  3. Step 3: Cross multiply
    104,910x = 166,375 × 166,375
  4. Step 4: Simplify right side
    104,910x = 27,680,640,625
  5. Step 5: Solve for x
    x = 27,680,640,625/104,910
  6. Step 6: Final answer
    x = 263,851.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.