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Finding the Third Proportional to 43,993 and 94,215

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Solution

The third proportional to 43,993 and 94,215 is: 201,769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,993 : 94,215 = 94,215 : x
  2. Step 2: Convert to fraction form
    43,993/94,215 = 94,215/x
  3. Step 3: Cross multiply
    43,993x = 94,215 × 94,215
  4. Step 4: Simplify right side
    43,993x = 8,876,466,225
  5. Step 5: Solve for x
    x = 8,876,466,225/43,993
  6. Step 6: Final answer
    x = 201,769.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.