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Finding the Third Proportional to 54,864 and 118,256

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Solution

The third proportional to 54,864 and 118,256 is: 254,893.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,864 : 118,256 = 118,256 : x
  2. Step 2: Convert to fraction form
    54,864/118,256 = 118,256/x
  3. Step 3: Cross multiply
    54,864x = 118,256 × 118,256
  4. Step 4: Simplify right side
    54,864x = 13,984,481,536
  5. Step 5: Solve for x
    x = 13,984,481,536/54,864
  6. Step 6: Final answer
    x = 254,893.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.