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Finding the Third Proportional to 41,644 and 89,935

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Solution

The third proportional to 41,644 and 89,935 is: 194,224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,644 : 89,935 = 89,935 : x
  2. Step 2: Convert to fraction form
    41,644/89,935 = 89,935/x
  3. Step 3: Cross multiply
    41,644x = 89,935 × 89,935
  4. Step 4: Simplify right side
    41,644x = 8,088,304,225
  5. Step 5: Solve for x
    x = 8,088,304,225/41,644
  6. Step 6: Final answer
    x = 194,224.96

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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.