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Finding the Third Proportional to 95,642 and 195,508

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Solution

The third proportional to 95,642 and 195,508 is: 399,650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,642 : 195,508 = 195,508 : x
  2. Step 2: Convert to fraction form
    95,642/195,508 = 195,508/x
  3. Step 3: Cross multiply
    95,642x = 195,508 × 195,508
  4. Step 4: Simplify right side
    95,642x = 38,223,378,064
  5. Step 5: Solve for x
    x = 38,223,378,064/95,642
  6. Step 6: Final answer
    x = 399,650.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.