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Finding the Third Proportional to 86,533 and 185,993

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Solution

The third proportional to 86,533 and 185,993 is: 399,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,533 : 185,993 = 185,993 : x
  2. Step 2: Convert to fraction form
    86,533/185,993 = 185,993/x
  3. Step 3: Cross multiply
    86,533x = 185,993 × 185,993
  4. Step 4: Simplify right side
    86,533x = 34,593,396,049
  5. Step 5: Solve for x
    x = 34,593,396,049/86,533
  6. Step 6: Final answer
    x = 399,771.14

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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.