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Finding the Third Proportional to 54,976 and 120,256

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Solution

The third proportional to 54,976 and 120,256 is: 263,051.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,976 : 120,256 = 120,256 : x
  2. Step 2: Convert to fraction form
    54,976/120,256 = 120,256/x
  3. Step 3: Cross multiply
    54,976x = 120,256 × 120,256
  4. Step 4: Simplify right side
    54,976x = 14,461,505,536
  5. Step 5: Solve for x
    x = 14,461,505,536/54,976
  6. Step 6: Final answer
    x = 263,051.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.