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Finding the Third Proportional to 86,647 and 186,187

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Solution

The third proportional to 86,647 and 186,187 is: 400,078.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,647 : 186,187 = 186,187 : x
  2. Step 2: Convert to fraction form
    86,647/186,187 = 186,187/x
  3. Step 3: Cross multiply
    86,647x = 186,187 × 186,187
  4. Step 4: Simplify right side
    86,647x = 34,665,598,969
  5. Step 5: Solve for x
    x = 34,665,598,969/86,647
  6. Step 6: Final answer
    x = 400,078.47

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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.