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Finding the Third Proportional to 95,768 and 194,272

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Solution

The third proportional to 95,768 and 194,272 is: 394,094.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,768 : 194,272 = 194,272 : x
  2. Step 2: Convert to fraction form
    95,768/194,272 = 194,272/x
  3. Step 3: Cross multiply
    95,768x = 194,272 × 194,272
  4. Step 4: Simplify right side
    95,768x = 37,741,609,984
  5. Step 5: Solve for x
    x = 37,741,609,984/95,768
  6. Step 6: Final answer
    x = 394,094.16

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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.