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Finding the Third Proportional to 95,048 and 192,400

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Solution

The third proportional to 95,048 and 192,400 is: 389,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,048 : 192,400 = 192,400 : x
  2. Step 2: Convert to fraction form
    95,048/192,400 = 192,400/x
  3. Step 3: Cross multiply
    95,048x = 192,400 × 192,400
  4. Step 4: Simplify right side
    95,048x = 37,017,760,000
  5. Step 5: Solve for x
    x = 37,017,760,000/95,048
  6. Step 6: Final answer
    x = 389,463.85

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.