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Finding the Third Proportional to 43,118 and 94,251

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Solution

The third proportional to 43,118 and 94,251 is: 206,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,118 : 94,251 = 94,251 : x
  2. Step 2: Convert to fraction form
    43,118/94,251 = 94,251/x
  3. Step 3: Cross multiply
    43,118x = 94,251 × 94,251
  4. Step 4: Simplify right side
    43,118x = 8,883,251,001
  5. Step 5: Solve for x
    x = 8,883,251,001/43,118
  6. Step 6: Final answer
    x = 206,021.87

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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.