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Finding the Third Proportional to 95,259 and 206,556

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Solution

The third proportional to 95,259 and 206,556 is: 447,888.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,259 : 206,556 = 206,556 : x
  2. Step 2: Convert to fraction form
    95,259/206,556 = 206,556/x
  3. Step 3: Cross multiply
    95,259x = 206,556 × 206,556
  4. Step 4: Simplify right side
    95,259x = 42,665,381,136
  5. Step 5: Solve for x
    x = 42,665,381,136/95,259
  6. Step 6: Final answer
    x = 447,888.19

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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.