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Finding the Third Proportional to 39,771 and 87,318

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Solution

The third proportional to 39,771 and 87,318 is: 191,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,771 : 87,318 = 87,318 : x
  2. Step 2: Convert to fraction form
    39,771/87,318 = 87,318/x
  3. Step 3: Cross multiply
    39,771x = 87,318 × 87,318
  4. Step 4: Simplify right side
    39,771x = 7,624,433,124
  5. Step 5: Solve for x
    x = 7,624,433,124/39,771
  6. Step 6: Final answer
    x = 191,708.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.