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Finding the Third Proportional to 40,785 and 89,849

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Solution

The third proportional to 40,785 and 89,849 is: 197,936.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,785 : 89,849 = 89,849 : x
  2. Step 2: Convert to fraction form
    40,785/89,849 = 89,849/x
  3. Step 3: Cross multiply
    40,785x = 89,849 × 89,849
  4. Step 4: Simplify right side
    40,785x = 8,072,842,801
  5. Step 5: Solve for x
    x = 8,072,842,801/40,785
  6. Step 6: Final answer
    x = 197,936.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.