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Finding the Third Proportional to 115,973 and 179,198

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Solution

The third proportional to 115,973 and 179,198 is: 276,891.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,973 : 179,198 = 179,198 : x
  2. Step 2: Convert to fraction form
    115,973/179,198 = 179,198/x
  3. Step 3: Cross multiply
    115,973x = 179,198 × 179,198
  4. Step 4: Simplify right side
    115,973x = 32,111,923,204
  5. Step 5: Solve for x
    x = 32,111,923,204/115,973
  6. Step 6: Final answer
    x = 276,891.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.