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Finding the Third Proportional to 95,774 and 194,282

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Solution

The third proportional to 95,774 and 194,282 is: 394,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,774 : 194,282 = 194,282 : x
  2. Step 2: Convert to fraction form
    95,774/194,282 = 194,282/x
  3. Step 3: Cross multiply
    95,774x = 194,282 × 194,282
  4. Step 4: Simplify right side
    95,774x = 37,745,495,524
  5. Step 5: Solve for x
    x = 37,745,495,524/95,774
  6. Step 6: Final answer
    x = 394,110.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.