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Finding the Third Proportional to 95,949 and 151,821

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Solution

The third proportional to 95,949 and 151,821 is: 240,227.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,949 : 151,821 = 151,821 : x
  2. Step 2: Convert to fraction form
    95,949/151,821 = 151,821/x
  3. Step 3: Cross multiply
    95,949x = 151,821 × 151,821
  4. Step 4: Simplify right side
    95,949x = 23,049,616,041
  5. Step 5: Solve for x
    x = 23,049,616,041/95,949
  6. Step 6: Final answer
    x = 240,227.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.