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Finding the Third Proportional to 51,514 and 119,256

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Solution

The third proportional to 51,514 and 119,256 is: 276,080.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,514 : 119,256 = 119,256 : x
  2. Step 2: Convert to fraction form
    51,514/119,256 = 119,256/x
  3. Step 3: Cross multiply
    51,514x = 119,256 × 119,256
  4. Step 4: Simplify right side
    51,514x = 14,221,993,536
  5. Step 5: Solve for x
    x = 14,221,993,536/51,514
  6. Step 6: Final answer
    x = 276,080.16

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.