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Finding the Third Proportional to 86,550.75 and 181,845

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Solution

The third proportional to 86,550.75 and 181,845 is: 382,060.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,550.75 : 181,845 = 181,845 : x
  2. Step 2: Convert to fraction form
    86,550.75/181,845 = 181,845/x
  3. Step 3: Cross multiply
    86,550.75x = 181,845 × 181,845
  4. Step 4: Simplify right side
    86,550.75x = 33,067,604,025
  5. Step 5: Solve for x
    x = 33,067,604,025/86,550.75
  6. Step 6: Final answer
    x = 382,060.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.