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Finding the Third Proportional to 52,625 and 111,821

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Solution

The third proportional to 52,625 and 111,821 is: 237,604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,625 : 111,821 = 111,821 : x
  2. Step 2: Convert to fraction form
    52,625/111,821 = 111,821/x
  3. Step 3: Cross multiply
    52,625x = 111,821 × 111,821
  4. Step 4: Simplify right side
    52,625x = 12,503,936,041
  5. Step 5: Solve for x
    x = 12,503,936,041/52,625
  6. Step 6: Final answer
    x = 237,604.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.