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Finding the Third Proportional to 120,048 and 193,374

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Solution

The third proportional to 120,048 and 193,374 is: 311,487.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,048 : 193,374 = 193,374 : x
  2. Step 2: Convert to fraction form
    120,048/193,374 = 193,374/x
  3. Step 3: Cross multiply
    120,048x = 193,374 × 193,374
  4. Step 4: Simplify right side
    120,048x = 37,393,503,876
  5. Step 5: Solve for x
    x = 37,393,503,876/120,048
  6. Step 6: Final answer
    x = 311,487.94

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.