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Finding the Third Proportional to 54,717 and 117,608

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Solution

The third proportional to 54,717 and 117,608 is: 252,785.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,717 : 117,608 = 117,608 : x
  2. Step 2: Convert to fraction form
    54,717/117,608 = 117,608/x
  3. Step 3: Cross multiply
    54,717x = 117,608 × 117,608
  4. Step 4: Simplify right side
    54,717x = 13,831,641,664
  5. Step 5: Solve for x
    x = 13,831,641,664/54,717
  6. Step 6: Final answer
    x = 252,785.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.