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Finding the Third Proportional to 54,096 and 115,104

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Solution

The third proportional to 54,096 and 115,104 is: 244,915.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,096 : 115,104 = 115,104 : x
  2. Step 2: Convert to fraction form
    54,096/115,104 = 115,104/x
  3. Step 3: Cross multiply
    54,096x = 115,104 × 115,104
  4. Step 4: Simplify right side
    54,096x = 13,248,930,816
  5. Step 5: Solve for x
    x = 13,248,930,816/54,096
  6. Step 6: Final answer
    x = 244,915.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.