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Finding the Third Proportional to 95,916 and 201,775

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Solution

The third proportional to 95,916 and 201,775 is: 424,466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,916 : 201,775 = 201,775 : x
  2. Step 2: Convert to fraction form
    95,916/201,775 = 201,775/x
  3. Step 3: Cross multiply
    95,916x = 201,775 × 201,775
  4. Step 4: Simplify right side
    95,916x = 40,713,150,625
  5. Step 5: Solve for x
    x = 40,713,150,625/95,916
  6. Step 6: Final answer
    x = 424,466.73

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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.