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Finding the Third Proportional to 31,719.09 and 68,905.69

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Solution

The third proportional to 31,719.09 and 68,905.69 is: 149,688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,719.09 : 68,905.69 = 68,905.69 : x
  2. Step 2: Convert to fraction form
    31,719.09/68,905.69 = 68,905.69/x
  3. Step 3: Cross multiply
    31,719.09x = 68,905.69 × 68,905.69
  4. Step 4: Simplify right side
    31,719.09x = 4,747,993,769.85
  5. Step 5: Solve for x
    x = 4,747,993,769.85/31,719.09
  6. Step 6: Final answer
    x = 149,688.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.