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Finding the Third Proportional to 133,974 and 181,941

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Solution

The third proportional to 133,974 and 181,941 is: 247,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,974 : 181,941 = 181,941 : x
  2. Step 2: Convert to fraction form
    133,974/181,941 = 181,941/x
  3. Step 3: Cross multiply
    133,974x = 181,941 × 181,941
  4. Step 4: Simplify right side
    133,974x = 33,102,527,481
  5. Step 5: Solve for x
    x = 33,102,527,481/133,974
  6. Step 6: Final answer
    x = 247,081.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.