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Finding the Third Proportional to 122,251.78 and 194,529.09

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Solution

The third proportional to 122,251.78 and 194,529.09 is: 309,537.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,251.78 : 194,529.09 = 194,529.09 : x
  2. Step 2: Convert to fraction form
    122,251.78/194,529.09 = 194,529.09/x
  3. Step 3: Cross multiply
    122,251.78x = 194,529.09 × 194,529.09
  4. Step 4: Simplify right side
    122,251.78x = 37,841,568,315.20
  5. Step 5: Solve for x
    x = 37,841,568,315.20/122,251.78
  6. Step 6: Final answer
    x = 309,537.97

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.