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Finding the Third Proportional to 43,086 and 94,191

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Solution

The third proportional to 43,086 and 94,191 is: 205,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,086 : 94,191 = 94,191 : x
  2. Step 2: Convert to fraction form
    43,086/94,191 = 94,191/x
  3. Step 3: Cross multiply
    43,086x = 94,191 × 94,191
  4. Step 4: Simplify right side
    43,086x = 8,871,944,481
  5. Step 5: Solve for x
    x = 8,871,944,481/43,086
  6. Step 6: Final answer
    x = 205,912.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.