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Finding the Third Proportional to 41,056 and 65,269

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Solution

The third proportional to 41,056 and 65,269 is: 103,761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,056 : 65,269 = 65,269 : x
  2. Step 2: Convert to fraction form
    41,056/65,269 = 65,269/x
  3. Step 3: Cross multiply
    41,056x = 65,269 × 65,269
  4. Step 4: Simplify right side
    41,056x = 4,260,042,361
  5. Step 5: Solve for x
    x = 4,260,042,361/41,056
  6. Step 6: Final answer
    x = 103,761.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.