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Finding the Third Proportional to 43,986 and 89,508

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Solution

The third proportional to 43,986 and 89,508 is: 182,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,986 : 89,508 = 89,508 : x
  2. Step 2: Convert to fraction form
    43,986/89,508 = 89,508/x
  3. Step 3: Cross multiply
    43,986x = 89,508 × 89,508
  4. Step 4: Simplify right side
    43,986x = 8,011,682,064
  5. Step 5: Solve for x
    x = 8,011,682,064/43,986
  6. Step 6: Final answer
    x = 182,141.64

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.