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Finding the Third Proportional to 54,016 and 128,096

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Solution

The third proportional to 54,016 and 128,096 is: 303,772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,016 : 128,096 = 128,096 : x
  2. Step 2: Convert to fraction form
    54,016/128,096 = 128,096/x
  3. Step 3: Cross multiply
    54,016x = 128,096 × 128,096
  4. Step 4: Simplify right side
    54,016x = 16,408,585,216
  5. Step 5: Solve for x
    x = 16,408,585,216/54,016
  6. Step 6: Final answer
    x = 303,772.68

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.