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Finding the Third Proportional to 50,949 and 111,741

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Solution

The third proportional to 50,949 and 111,741 is: 245,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,949 : 111,741 = 111,741 : x
  2. Step 2: Convert to fraction form
    50,949/111,741 = 111,741/x
  3. Step 3: Cross multiply
    50,949x = 111,741 × 111,741
  4. Step 4: Simplify right side
    50,949x = 12,486,051,081
  5. Step 5: Solve for x
    x = 12,486,051,081/50,949
  6. Step 6: Final answer
    x = 245,069.60

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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.