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Finding the Third Proportional to 103,092 and 159,626

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Solution

The third proportional to 103,092 and 159,626 is: 247,162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,092 : 159,626 = 159,626 : x
  2. Step 2: Convert to fraction form
    103,092/159,626 = 159,626/x
  3. Step 3: Cross multiply
    103,092x = 159,626 × 159,626
  4. Step 4: Simplify right side
    103,092x = 25,480,459,876
  5. Step 5: Solve for x
    x = 25,480,459,876/103,092
  6. Step 6: Final answer
    x = 247,162.34

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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.