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Finding the Third Proportional to 109,379 and 143,626

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Solution

The third proportional to 109,379 and 143,626 is: 188,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,379 : 143,626 = 143,626 : x
  2. Step 2: Convert to fraction form
    109,379/143,626 = 143,626/x
  3. Step 3: Cross multiply
    109,379x = 143,626 × 143,626
  4. Step 4: Simplify right side
    109,379x = 20,628,427,876
  5. Step 5: Solve for x
    x = 20,628,427,876/109,379
  6. Step 6: Final answer
    x = 188,595.87

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.