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Finding the Third Proportional to 95,649 and 208,521

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Solution

The third proportional to 95,649 and 208,521 is: 454,589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,649 : 208,521 = 208,521 : x
  2. Step 2: Convert to fraction form
    95,649/208,521 = 208,521/x
  3. Step 3: Cross multiply
    95,649x = 208,521 × 208,521
  4. Step 4: Simplify right side
    95,649x = 43,481,007,441
  5. Step 5: Solve for x
    x = 43,481,007,441/95,649
  6. Step 6: Final answer
    x = 454,589.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.