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Finding the Third Proportional to 36,204 and 77,187

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Solution

The third proportional to 36,204 and 77,187 is: 164,562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,204 : 77,187 = 77,187 : x
  2. Step 2: Convert to fraction form
    36,204/77,187 = 77,187/x
  3. Step 3: Cross multiply
    36,204x = 77,187 × 77,187
  4. Step 4: Simplify right side
    36,204x = 5,957,832,969
  5. Step 5: Solve for x
    x = 5,957,832,969/36,204
  6. Step 6: Final answer
    x = 164,562.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.