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Finding the Third Proportional to 43,709 and 95,626

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Solution

The third proportional to 43,709 and 95,626 is: 209,209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,709 : 95,626 = 95,626 : x
  2. Step 2: Convert to fraction form
    43,709/95,626 = 95,626/x
  3. Step 3: Cross multiply
    43,709x = 95,626 × 95,626
  4. Step 4: Simplify right side
    43,709x = 9,144,331,876
  5. Step 5: Solve for x
    x = 9,144,331,876/43,709
  6. Step 6: Final answer
    x = 209,209.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.