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Finding the Third Proportional to 95,401 and 207,191

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Solution

The third proportional to 95,401 and 207,191 is: 449,975.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,401 : 207,191 = 207,191 : x
  2. Step 2: Convert to fraction form
    95,401/207,191 = 207,191/x
  3. Step 3: Cross multiply
    95,401x = 207,191 × 207,191
  4. Step 4: Simplify right side
    95,401x = 42,928,110,481
  5. Step 5: Solve for x
    x = 42,928,110,481/95,401
  6. Step 6: Final answer
    x = 449,975.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.