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Finding the Third Proportional to 43,772 and 67,898

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Solution

The third proportional to 43,772 and 67,898 is: 105,321.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,772 : 67,898 = 67,898 : x
  2. Step 2: Convert to fraction form
    43,772/67,898 = 67,898/x
  3. Step 3: Cross multiply
    43,772x = 67,898 × 67,898
  4. Step 4: Simplify right side
    43,772x = 4,610,138,404
  5. Step 5: Solve for x
    x = 4,610,138,404/43,772
  6. Step 6: Final answer
    x = 105,321.63

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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.