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Finding the Third Proportional to 40,606 and 82,328

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Solution

The third proportional to 40,606 and 82,328 is: 166,918.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,606 : 82,328 = 82,328 : x
  2. Step 2: Convert to fraction form
    40,606/82,328 = 82,328/x
  3. Step 3: Cross multiply
    40,606x = 82,328 × 82,328
  4. Step 4: Simplify right side
    40,606x = 6,777,899,584
  5. Step 5: Solve for x
    x = 6,777,899,584/40,606
  6. Step 6: Final answer
    x = 166,918.67

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Why These Related Problems?

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