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Finding the Third Proportional to 86,593 and 179,989

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Solution

The third proportional to 86,593 and 179,989 is: 374,118.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,593 : 179,989 = 179,989 : x
  2. Step 2: Convert to fraction form
    86,593/179,989 = 179,989/x
  3. Step 3: Cross multiply
    86,593x = 179,989 × 179,989
  4. Step 4: Simplify right side
    86,593x = 32,396,040,121
  5. Step 5: Solve for x
    x = 32,396,040,121/86,593
  6. Step 6: Final answer
    x = 374,118.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.