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Finding the Third Proportional to 41,622 and 89,895

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Solution

The third proportional to 41,622 and 89,895 is: 194,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,622 : 89,895 = 89,895 : x
  2. Step 2: Convert to fraction form
    41,622/89,895 = 89,895/x
  3. Step 3: Cross multiply
    41,622x = 89,895 × 89,895
  4. Step 4: Simplify right side
    41,622x = 8,081,111,025
  5. Step 5: Solve for x
    x = 8,081,111,025/41,622
  6. Step 6: Final answer
    x = 194,154.80

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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.