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Finding the Third Proportional to 108,062 and 173,626

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Solution

The third proportional to 108,062 and 173,626 is: 278,969.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,062 : 173,626 = 173,626 : x
  2. Step 2: Convert to fraction form
    108,062/173,626 = 173,626/x
  3. Step 3: Cross multiply
    108,062x = 173,626 × 173,626
  4. Step 4: Simplify right side
    108,062x = 30,145,987,876
  5. Step 5: Solve for x
    x = 30,145,987,876/108,062
  6. Step 6: Final answer
    x = 278,969.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.