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Finding the Third Proportional to 40,772 and 84,166

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Solution

The third proportional to 40,772 and 84,166 is: 173,744.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,772 : 84,166 = 84,166 : x
  2. Step 2: Convert to fraction form
    40,772/84,166 = 84,166/x
  3. Step 3: Cross multiply
    40,772x = 84,166 × 84,166
  4. Step 4: Simplify right side
    40,772x = 7,083,915,556
  5. Step 5: Solve for x
    x = 7,083,915,556/40,772
  6. Step 6: Final answer
    x = 173,744.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.