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Finding the Third Proportional to 45,811 and 97,183

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Solution

The third proportional to 45,811 and 97,183 is: 206,163.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,811 : 97,183 = 97,183 : x
  2. Step 2: Convert to fraction form
    45,811/97,183 = 97,183/x
  3. Step 3: Cross multiply
    45,811x = 97,183 × 97,183
  4. Step 4: Simplify right side
    45,811x = 9,444,535,489
  5. Step 5: Solve for x
    x = 9,444,535,489/45,811
  6. Step 6: Final answer
    x = 206,163.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.