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Finding the Third Proportional to 86,648 and 186,192

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Solution

The third proportional to 86,648 and 186,192 is: 400,095.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,648 : 186,192 = 186,192 : x
  2. Step 2: Convert to fraction form
    86,648/186,192 = 186,192/x
  3. Step 3: Cross multiply
    86,648x = 186,192 × 186,192
  4. Step 4: Simplify right side
    86,648x = 34,667,460,864
  5. Step 5: Solve for x
    x = 34,667,460,864/86,648
  6. Step 6: Final answer
    x = 400,095.34

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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.