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Finding the Third Proportional to 67,727.59 and 105,469.36

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Solution

The third proportional to 67,727.59 and 105,469.36 is: 164,243.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,727.59 : 105,469.36 = 105,469.36 : x
  2. Step 2: Convert to fraction form
    67,727.59/105,469.36 = 105,469.36/x
  3. Step 3: Cross multiply
    67,727.59x = 105,469.36 × 105,469.36
  4. Step 4: Simplify right side
    67,727.59x = 11,123,785,148.99
  5. Step 5: Solve for x
    x = 11,123,785,148.99/67,727.59
  6. Step 6: Final answer
    x = 164,243.04

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.