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Finding the Third Proportional to 52,591 and 107,636

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Solution

The third proportional to 52,591 and 107,636 is: 220,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,591 : 107,636 = 107,636 : x
  2. Step 2: Convert to fraction form
    52,591/107,636 = 107,636/x
  3. Step 3: Cross multiply
    52,591x = 107,636 × 107,636
  4. Step 4: Simplify right side
    52,591x = 11,585,508,496
  5. Step 5: Solve for x
    x = 11,585,508,496/52,591
  6. Step 6: Final answer
    x = 220,294.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.