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Finding the Third Proportional to 95,874 and 201,663

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Solution

The third proportional to 95,874 and 201,663 is: 424,181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,874 : 201,663 = 201,663 : x
  2. Step 2: Convert to fraction form
    95,874/201,663 = 201,663/x
  3. Step 3: Cross multiply
    95,874x = 201,663 × 201,663
  4. Step 4: Simplify right side
    95,874x = 40,667,965,569
  5. Step 5: Solve for x
    x = 40,667,965,569/95,874
  6. Step 6: Final answer
    x = 424,181.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.