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Finding the Third Proportional to 120,008 and 259,266

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Solution

The third proportional to 120,008 and 259,266 is: 560,119.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,008 : 259,266 = 259,266 : x
  2. Step 2: Convert to fraction form
    120,008/259,266 = 259,266/x
  3. Step 3: Cross multiply
    120,008x = 259,266 × 259,266
  4. Step 4: Simplify right side
    120,008x = 67,218,858,756
  5. Step 5: Solve for x
    x = 67,218,858,756/120,008
  6. Step 6: Final answer
    x = 560,119.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.