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Finding the Third Proportional to 43,948 and 68,107

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Solution

The third proportional to 43,948 and 68,107 is: 105,546.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,948 : 68,107 = 68,107 : x
  2. Step 2: Convert to fraction form
    43,948/68,107 = 68,107/x
  3. Step 3: Cross multiply
    43,948x = 68,107 × 68,107
  4. Step 4: Simplify right side
    43,948x = 4,638,563,449
  5. Step 5: Solve for x
    x = 4,638,563,449/43,948
  6. Step 6: Final answer
    x = 105,546.63

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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.