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Finding the Third Proportional to 67,761 and 100,661

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Solution

The third proportional to 67,761 and 100,661 is: 149,534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,761 : 100,661 = 100,661 : x
  2. Step 2: Convert to fraction form
    67,761/100,661 = 100,661/x
  3. Step 3: Cross multiply
    67,761x = 100,661 × 100,661
  4. Step 4: Simplify right side
    67,761x = 10,132,636,921
  5. Step 5: Solve for x
    x = 10,132,636,921/67,761
  6. Step 6: Final answer
    x = 149,534.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.