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Finding the Third Proportional to 63,189 and 133,626

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Solution

The third proportional to 63,189 and 133,626 is: 282,579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,189 : 133,626 = 133,626 : x
  2. Step 2: Convert to fraction form
    63,189/133,626 = 133,626/x
  3. Step 3: Cross multiply
    63,189x = 133,626 × 133,626
  4. Step 4: Simplify right side
    63,189x = 17,855,907,876
  5. Step 5: Solve for x
    x = 17,855,907,876/63,189
  6. Step 6: Final answer
    x = 282,579.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.