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Finding the Third Proportional to 54,296 and 116,800

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Solution

The third proportional to 54,296 and 116,800 is: 251,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,296 : 116,800 = 116,800 : x
  2. Step 2: Convert to fraction form
    54,296/116,800 = 116,800/x
  3. Step 3: Cross multiply
    54,296x = 116,800 × 116,800
  4. Step 4: Simplify right side
    54,296x = 13,642,240,000
  5. Step 5: Solve for x
    x = 13,642,240,000/54,296
  6. Step 6: Final answer
    x = 251,256.81

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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.