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Finding the Third Proportional to 38,262 and 82,086

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Solution

The third proportional to 38,262 and 82,086 is: 176,104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,262 : 82,086 = 82,086 : x
  2. Step 2: Convert to fraction form
    38,262/82,086 = 82,086/x
  3. Step 3: Cross multiply
    38,262x = 82,086 × 82,086
  4. Step 4: Simplify right side
    38,262x = 6,738,111,396
  5. Step 5: Solve for x
    x = 6,738,111,396/38,262
  6. Step 6: Final answer
    x = 176,104.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.