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Finding the Third Proportional to 86,922 and 186,843

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Solution

The third proportional to 86,922 and 186,843 is: 401,627.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,922 : 186,843 = 186,843 : x
  2. Step 2: Convert to fraction form
    86,922/186,843 = 186,843/x
  3. Step 3: Cross multiply
    86,922x = 186,843 × 186,843
  4. Step 4: Simplify right side
    86,922x = 34,910,306,649
  5. Step 5: Solve for x
    x = 34,910,306,649/86,922
  6. Step 6: Final answer
    x = 401,627.97

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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.