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Finding the Third Proportional to 43,962 and 68,123

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Solution

The third proportional to 43,962 and 68,123 is: 105,562.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,962 : 68,123 = 68,123 : x
  2. Step 2: Convert to fraction form
    43,962/68,123 = 68,123/x
  3. Step 3: Cross multiply
    43,962x = 68,123 × 68,123
  4. Step 4: Simplify right side
    43,962x = 4,640,743,129
  5. Step 5: Solve for x
    x = 4,640,743,129/43,962
  6. Step 6: Final answer
    x = 105,562.60

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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.