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Finding the Third Proportional to 43,936 and 68,088

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Solution

The third proportional to 43,936 and 68,088 is: 105,516.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,936 : 68,088 = 68,088 : x
  2. Step 2: Convert to fraction form
    43,936/68,088 = 68,088/x
  3. Step 3: Cross multiply
    43,936x = 68,088 × 68,088
  4. Step 4: Simplify right side
    43,936x = 4,635,975,744
  5. Step 5: Solve for x
    x = 4,635,975,744/43,936
  6. Step 6: Final answer
    x = 105,516.56

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Why These Related Problems?

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