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Finding the Third Proportional to 86,032 and 185,249

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Solution

The third proportional to 86,032 and 185,249 is: 398,888.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,032 : 185,249 = 185,249 : x
  2. Step 2: Convert to fraction form
    86,032/185,249 = 185,249/x
  3. Step 3: Cross multiply
    86,032x = 185,249 × 185,249
  4. Step 4: Simplify right side
    86,032x = 34,317,192,001
  5. Step 5: Solve for x
    x = 34,317,192,001/86,032
  6. Step 6: Final answer
    x = 398,888.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.