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Finding the Third Proportional to 67,267 and 101,059

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Solution

The third proportional to 67,267 and 101,059 is: 151,826.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,267 : 101,059 = 101,059 : x
  2. Step 2: Convert to fraction form
    67,267/101,059 = 101,059/x
  3. Step 3: Cross multiply
    67,267x = 101,059 × 101,059
  4. Step 4: Simplify right side
    67,267x = 10,212,921,481
  5. Step 5: Solve for x
    x = 10,212,921,481/67,267
  6. Step 6: Final answer
    x = 151,826.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.