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Finding the Third Proportional to 36,341 and 81,185

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Solution

The third proportional to 36,341 and 81,185 is: 181,365.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,341 : 81,185 = 81,185 : x
  2. Step 2: Convert to fraction form
    36,341/81,185 = 81,185/x
  3. Step 3: Cross multiply
    36,341x = 81,185 × 81,185
  4. Step 4: Simplify right side
    36,341x = 6,591,004,225
  5. Step 5: Solve for x
    x = 6,591,004,225/36,341
  6. Step 6: Final answer
    x = 181,365.52

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.