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Finding the Third Proportional to 45,956 and 95,800

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Solution

The third proportional to 45,956 and 95,800 is: 199,704.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,956 : 95,800 = 95,800 : x
  2. Step 2: Convert to fraction form
    45,956/95,800 = 95,800/x
  3. Step 3: Cross multiply
    45,956x = 95,800 × 95,800
  4. Step 4: Simplify right side
    45,956x = 9,177,640,000
  5. Step 5: Solve for x
    x = 9,177,640,000/45,956
  6. Step 6: Final answer
    x = 199,704.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.