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Finding the Third Proportional to 95,050 and 192,404

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Solution

The third proportional to 95,050 and 192,404 is: 389,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,050 : 192,404 = 192,404 : x
  2. Step 2: Convert to fraction form
    95,050/192,404 = 192,404/x
  3. Step 3: Cross multiply
    95,050x = 192,404 × 192,404
  4. Step 4: Simplify right side
    95,050x = 37,019,299,216
  5. Step 5: Solve for x
    x = 37,019,299,216/95,050
  6. Step 6: Final answer
    x = 389,471.85

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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.