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Finding the Third Proportional to 45,002 and 104,183

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Solution

The third proportional to 45,002 and 104,183 is: 241,191.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,002 : 104,183 = 104,183 : x
  2. Step 2: Convert to fraction form
    45,002/104,183 = 104,183/x
  3. Step 3: Cross multiply
    45,002x = 104,183 × 104,183
  4. Step 4: Simplify right side
    45,002x = 10,854,097,489
  5. Step 5: Solve for x
    x = 10,854,097,489/45,002
  6. Step 6: Final answer
    x = 241,191.45

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.