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Finding the Third Proportional to 95,649 and 140,401

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Solution

The third proportional to 95,649 and 140,401 is: 206,091.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,649 : 140,401 = 140,401 : x
  2. Step 2: Convert to fraction form
    95,649/140,401 = 140,401/x
  3. Step 3: Cross multiply
    95,649x = 140,401 × 140,401
  4. Step 4: Simplify right side
    95,649x = 19,712,440,801
  5. Step 5: Solve for x
    x = 19,712,440,801/95,649
  6. Step 6: Final answer
    x = 206,091.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.