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Finding the Third Proportional to 106,826 and 173,626

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Solution

The third proportional to 106,826 and 173,626 is: 282,197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,826 : 173,626 = 173,626 : x
  2. Step 2: Convert to fraction form
    106,826/173,626 = 173,626/x
  3. Step 3: Cross multiply
    106,826x = 173,626 × 173,626
  4. Step 4: Simplify right side
    106,826x = 30,145,987,876
  5. Step 5: Solve for x
    x = 30,145,987,876/106,826
  6. Step 6: Final answer
    x = 282,197.10

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.