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Finding the Third Proportional to 50,986 and 111,821

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Solution

The third proportional to 50,986 and 111,821 is: 245,242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,986 : 111,821 = 111,821 : x
  2. Step 2: Convert to fraction form
    50,986/111,821 = 111,821/x
  3. Step 3: Cross multiply
    50,986x = 111,821 × 111,821
  4. Step 4: Simplify right side
    50,986x = 12,503,936,041
  5. Step 5: Solve for x
    x = 12,503,936,041/50,986
  6. Step 6: Final answer
    x = 245,242.54

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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.