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Finding the Third Proportional to 33,781 and 78,195

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Solution

The third proportional to 33,781 and 78,195 is: 181,002.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,781 : 78,195 = 78,195 : x
  2. Step 2: Convert to fraction form
    33,781/78,195 = 78,195/x
  3. Step 3: Cross multiply
    33,781x = 78,195 × 78,195
  4. Step 4: Simplify right side
    33,781x = 6,114,458,025
  5. Step 5: Solve for x
    x = 6,114,458,025/33,781
  6. Step 6: Final answer
    x = 181,002.87

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.