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Finding the Third Proportional to 95,254 and 206,912

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Solution

The third proportional to 95,254 and 206,912 is: 449,456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,254 : 206,912 = 206,912 : x
  2. Step 2: Convert to fraction form
    95,254/206,912 = 206,912/x
  3. Step 3: Cross multiply
    95,254x = 206,912 × 206,912
  4. Step 4: Simplify right side
    95,254x = 42,812,575,744
  5. Step 5: Solve for x
    x = 42,812,575,744/95,254
  6. Step 6: Final answer
    x = 449,456.99

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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.