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Finding the Third Proportional to 121,514 and 166,873

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Solution

The third proportional to 121,514 and 166,873 is: 229,163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,514 : 166,873 = 166,873 : x
  2. Step 2: Convert to fraction form
    121,514/166,873 = 166,873/x
  3. Step 3: Cross multiply
    121,514x = 166,873 × 166,873
  4. Step 4: Simplify right side
    121,514x = 27,846,598,129
  5. Step 5: Solve for x
    x = 27,846,598,129/121,514
  6. Step 6: Final answer
    x = 229,163.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.