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Finding the Third Proportional to 52,049 and 115,744

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Solution

The third proportional to 52,049 and 115,744 is: 257,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,049 : 115,744 = 115,744 : x
  2. Step 2: Convert to fraction form
    52,049/115,744 = 115,744/x
  3. Step 3: Cross multiply
    52,049x = 115,744 × 115,744
  4. Step 4: Simplify right side
    52,049x = 13,396,673,536
  5. Step 5: Solve for x
    x = 13,396,673,536/52,049
  6. Step 6: Final answer
    x = 257,385.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.