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Finding the Third Proportional to 41,702 and 89,954

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Solution

The third proportional to 41,702 and 89,954 is: 194,036.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,702 : 89,954 = 89,954 : x
  2. Step 2: Convert to fraction form
    41,702/89,954 = 89,954/x
  3. Step 3: Cross multiply
    41,702x = 89,954 × 89,954
  4. Step 4: Simplify right side
    41,702x = 8,091,722,116
  5. Step 5: Solve for x
    x = 8,091,722,116/41,702
  6. Step 6: Final answer
    x = 194,036.79

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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.