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Finding the Third Proportional to 122,751 and 194,067

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Solution

The third proportional to 122,751 and 194,067 is: 306,816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,751 : 194,067 = 194,067 : x
  2. Step 2: Convert to fraction form
    122,751/194,067 = 194,067/x
  3. Step 3: Cross multiply
    122,751x = 194,067 × 194,067
  4. Step 4: Simplify right side
    122,751x = 37,662,000,489
  5. Step 5: Solve for x
    x = 37,662,000,489/122,751
  6. Step 6: Final answer
    x = 306,816.24

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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.