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Finding the Third Proportional to 119,671 and 181,993

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Solution

The third proportional to 119,671 and 181,993 is: 276,770.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,671 : 181,993 = 181,993 : x
  2. Step 2: Convert to fraction form
    119,671/181,993 = 181,993/x
  3. Step 3: Cross multiply
    119,671x = 181,993 × 181,993
  4. Step 4: Simplify right side
    119,671x = 33,121,452,049
  5. Step 5: Solve for x
    x = 33,121,452,049/119,671
  6. Step 6: Final answer
    x = 276,770.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.