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Finding the Third Proportional to 101,198 and 150,976

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Solution

The third proportional to 101,198 and 150,976 is: 225,239.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,198 : 150,976 = 150,976 : x
  2. Step 2: Convert to fraction form
    101,198/150,976 = 150,976/x
  3. Step 3: Cross multiply
    101,198x = 150,976 × 150,976
  4. Step 4: Simplify right side
    101,198x = 22,793,752,576
  5. Step 5: Solve for x
    x = 22,793,752,576/101,198
  6. Step 6: Final answer
    x = 225,239.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.