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Finding the Third Proportional to 122,249.25 and 194,511.38

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Solution

The third proportional to 122,249.25 and 194,511.38 is: 309,487.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,249.25 : 194,511.38 = 194,511.38 : x
  2. Step 2: Convert to fraction form
    122,249.25/194,511.38 = 194,511.38/x
  3. Step 3: Cross multiply
    122,249.25x = 194,511.38 × 194,511.38
  4. Step 4: Simplify right side
    122,249.25x = 37,834,675,004.39
  5. Step 5: Solve for x
    x = 37,834,675,004.39/122,249.25
  6. Step 6: Final answer
    x = 309,487.99

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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.