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Finding the Third Proportional to 43,880 and 68,064

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Solution

The third proportional to 43,880 and 68,064 is: 105,576.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,880 : 68,064 = 68,064 : x
  2. Step 2: Convert to fraction form
    43,880/68,064 = 68,064/x
  3. Step 3: Cross multiply
    43,880x = 68,064 × 68,064
  4. Step 4: Simplify right side
    43,880x = 4,632,708,096
  5. Step 5: Solve for x
    x = 4,632,708,096/43,880
  6. Step 6: Final answer
    x = 105,576.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.