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Finding the Third Proportional to 51,504 and 106,317

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Solution

The third proportional to 51,504 and 106,317 is: 219,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,504 : 106,317 = 106,317 : x
  2. Step 2: Convert to fraction form
    51,504/106,317 = 106,317/x
  3. Step 3: Cross multiply
    51,504x = 106,317 × 106,317
  4. Step 4: Simplify right side
    51,504x = 11,303,304,489
  5. Step 5: Solve for x
    x = 11,303,304,489/51,504
  6. Step 6: Final answer
    x = 219,464.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.