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Finding the Third Proportional to 37,262 and 81,166

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Solution

The third proportional to 37,262 and 81,166 is: 176,799.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,262 : 81,166 = 81,166 : x
  2. Step 2: Convert to fraction form
    37,262/81,166 = 81,166/x
  3. Step 3: Cross multiply
    37,262x = 81,166 × 81,166
  4. Step 4: Simplify right side
    37,262x = 6,587,919,556
  5. Step 5: Solve for x
    x = 6,587,919,556/37,262
  6. Step 6: Final answer
    x = 176,799.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.