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Finding the Third Proportional to 81,813 and 115,183

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Solution

The third proportional to 81,813 and 115,183 is: 162,164.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,813 : 115,183 = 115,183 : x
  2. Step 2: Convert to fraction form
    81,813/115,183 = 115,183/x
  3. Step 3: Cross multiply
    81,813x = 115,183 × 115,183
  4. Step 4: Simplify right side
    81,813x = 13,267,123,489
  5. Step 5: Solve for x
    x = 13,267,123,489/81,813
  6. Step 6: Final answer
    x = 162,164.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.