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Finding the Third Proportional to 86,540 and 186,006

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Solution

The third proportional to 86,540 and 186,006 is: 399,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,540 : 186,006 = 186,006 : x
  2. Step 2: Convert to fraction form
    86,540/186,006 = 186,006/x
  3. Step 3: Cross multiply
    86,540x = 186,006 × 186,006
  4. Step 4: Simplify right side
    86,540x = 34,598,232,036
  5. Step 5: Solve for x
    x = 34,598,232,036/86,540
  6. Step 6: Final answer
    x = 399,794.68

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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.