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Finding the Third Proportional to 37,166 and 76,166

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Solution

The third proportional to 37,166 and 76,166 is: 156,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,166 : 76,166 = 76,166 : x
  2. Step 2: Convert to fraction form
    37,166/76,166 = 76,166/x
  3. Step 3: Cross multiply
    37,166x = 76,166 × 76,166
  4. Step 4: Simplify right side
    37,166x = 5,801,259,556
  5. Step 5: Solve for x
    x = 5,801,259,556/37,166
  6. Step 6: Final answer
    x = 156,090.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.