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Finding the Third Proportional to 122,901 and 168,198

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Solution

The third proportional to 122,901 and 168,198 is: 230,189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,901 : 168,198 = 168,198 : x
  2. Step 2: Convert to fraction form
    122,901/168,198 = 168,198/x
  3. Step 3: Cross multiply
    122,901x = 168,198 × 168,198
  4. Step 4: Simplify right side
    122,901x = 28,290,567,204
  5. Step 5: Solve for x
    x = 28,290,567,204/122,901
  6. Step 6: Final answer
    x = 230,189.89

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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.