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Finding the Third Proportional to 81,760 and 170,945

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Solution

The third proportional to 81,760 and 170,945 is: 357,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,760 : 170,945 = 170,945 : x
  2. Step 2: Convert to fraction form
    81,760/170,945 = 170,945/x
  3. Step 3: Cross multiply
    81,760x = 170,945 × 170,945
  4. Step 4: Simplify right side
    81,760x = 29,222,193,025
  5. Step 5: Solve for x
    x = 29,222,193,025/81,760
  6. Step 6: Final answer
    x = 357,414.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.