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Finding the Third Proportional to 40,076.25 and 86,187

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Solution

The third proportional to 40,076.25 and 86,187 is: 185,351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,076.25 : 86,187 = 86,187 : x
  2. Step 2: Convert to fraction form
    40,076.25/86,187 = 86,187/x
  3. Step 3: Cross multiply
    40,076.25x = 86,187 × 86,187
  4. Step 4: Simplify right side
    40,076.25x = 7,428,198,969
  5. Step 5: Solve for x
    x = 7,428,198,969/40,076.25
  6. Step 6: Final answer
    x = 185,351.65

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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.