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Finding the Third Proportional to 41,378 and 89,956

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Solution

The third proportional to 41,378 and 89,956 is: 195,564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,378 : 89,956 = 89,956 : x
  2. Step 2: Convert to fraction form
    41,378/89,956 = 89,956/x
  3. Step 3: Cross multiply
    41,378x = 89,956 × 89,956
  4. Step 4: Simplify right side
    41,378x = 8,092,081,936
  5. Step 5: Solve for x
    x = 8,092,081,936/41,378
  6. Step 6: Final answer
    x = 195,564.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.