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Finding the Third Proportional to 39,183 and 84,257.75

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Solution

The third proportional to 39,183 and 84,257.75 is: 181,184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,183 : 84,257.75 = 84,257.75 : x
  2. Step 2: Convert to fraction form
    39,183/84,257.75 = 84,257.75/x
  3. Step 3: Cross multiply
    39,183x = 84,257.75 × 84,257.75
  4. Step 4: Simplify right side
    39,183x = 7,099,368,435.06
  5. Step 5: Solve for x
    x = 7,099,368,435.06/39,183
  6. Step 6: Final answer
    x = 181,184.91

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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.