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Finding the Third Proportional to 43,910 and 94,489

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Solution

The third proportional to 43,910 and 94,489 is: 203,328.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,910 : 94,489 = 94,489 : x
  2. Step 2: Convert to fraction form
    43,910/94,489 = 94,489/x
  3. Step 3: Cross multiply
    43,910x = 94,489 × 94,489
  4. Step 4: Simplify right side
    43,910x = 8,928,171,121
  5. Step 5: Solve for x
    x = 8,928,171,121/43,910
  6. Step 6: Final answer
    x = 203,328.88

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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.