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Finding the Third Proportional to 95,764.50 and 194,265

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Solution

The third proportional to 95,764.50 and 194,265 is: 394,080.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,764.50 : 194,265 = 194,265 : x
  2. Step 2: Convert to fraction form
    95,764.50/194,265 = 194,265/x
  3. Step 3: Cross multiply
    95,764.50x = 194,265 × 194,265
  4. Step 4: Simplify right side
    95,764.50x = 37,738,890,225
  5. Step 5: Solve for x
    x = 37,738,890,225/95,764.50
  6. Step 6: Final answer
    x = 394,080.17

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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.