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Finding the Third Proportional to 68,861.67 and 106,406.41

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Solution

The third proportional to 68,861.67 and 106,406.41 is: 164,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,861.67 : 106,406.41 = 106,406.41 : x
  2. Step 2: Convert to fraction form
    68,861.67/106,406.41 = 106,406.41/x
  3. Step 3: Cross multiply
    68,861.67x = 106,406.41 × 106,406.41
  4. Step 4: Simplify right side
    68,861.67x = 11,322,324,797.77
  5. Step 5: Solve for x
    x = 11,322,324,797.77/68,861.67
  6. Step 6: Final answer
    x = 164,421.30

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Why These Related Problems?

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