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Finding the Third Proportional to 86,645.25 and 186,183

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Solution

The third proportional to 86,645.25 and 186,183 is: 400,069.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,645.25 : 186,183 = 186,183 : x
  2. Step 2: Convert to fraction form
    86,645.25/186,183 = 186,183/x
  3. Step 3: Cross multiply
    86,645.25x = 186,183 × 186,183
  4. Step 4: Simplify right side
    86,645.25x = 34,664,109,489
  5. Step 5: Solve for x
    x = 34,664,109,489/86,645.25
  6. Step 6: Final answer
    x = 400,069.36

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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.