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Finding the Third Proportional to 95,823 and 201,578

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Solution

The third proportional to 95,823 and 201,578 is: 424,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,823 : 201,578 = 201,578 : x
  2. Step 2: Convert to fraction form
    95,823/201,578 = 201,578/x
  3. Step 3: Cross multiply
    95,823x = 201,578 × 201,578
  4. Step 4: Simplify right side
    95,823x = 40,633,690,084
  5. Step 5: Solve for x
    x = 40,633,690,084/95,823
  6. Step 6: Final answer
    x = 424,049.45

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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.