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Finding the Third Proportional to 51,024 and 110,448

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Solution

The third proportional to 51,024 and 110,448 is: 239,078.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,024 : 110,448 = 110,448 : x
  2. Step 2: Convert to fraction form
    51,024/110,448 = 110,448/x
  3. Step 3: Cross multiply
    51,024x = 110,448 × 110,448
  4. Step 4: Simplify right side
    51,024x = 12,198,760,704
  5. Step 5: Solve for x
    x = 12,198,760,704/51,024
  6. Step 6: Final answer
    x = 239,078.88

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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.