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Finding the Third Proportional to 67,734 and 104,673

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Solution

The third proportional to 67,734 and 104,673 is: 161,756.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,734 : 104,673 = 104,673 : x
  2. Step 2: Convert to fraction form
    67,734/104,673 = 104,673/x
  3. Step 3: Cross multiply
    67,734x = 104,673 × 104,673
  4. Step 4: Simplify right side
    67,734x = 10,956,436,929
  5. Step 5: Solve for x
    x = 10,956,436,929/67,734
  6. Step 6: Final answer
    x = 161,756.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.