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Finding the Third Proportional to 41,673 and 89,906

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Solution

The third proportional to 41,673 and 89,906 is: 193,964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,673 : 89,906 = 89,906 : x
  2. Step 2: Convert to fraction form
    41,673/89,906 = 89,906/x
  3. Step 3: Cross multiply
    41,673x = 89,906 × 89,906
  4. Step 4: Simplify right side
    41,673x = 8,083,088,836
  5. Step 5: Solve for x
    x = 8,083,088,836/41,673
  6. Step 6: Final answer
    x = 193,964.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.