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Finding the Third Proportional to 133,048 and 191,266

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Solution

The third proportional to 133,048 and 191,266 is: 274,958.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,048 : 191,266 = 191,266 : x
  2. Step 2: Convert to fraction form
    133,048/191,266 = 191,266/x
  3. Step 3: Cross multiply
    133,048x = 191,266 × 191,266
  4. Step 4: Simplify right side
    133,048x = 36,582,682,756
  5. Step 5: Solve for x
    x = 36,582,682,756/133,048
  6. Step 6: Final answer
    x = 274,958.53

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.