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Finding the Third Proportional to 51,660 and 109,467

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Solution

The third proportional to 51,660 and 109,467 is: 231,959.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,660 : 109,467 = 109,467 : x
  2. Step 2: Convert to fraction form
    51,660/109,467 = 109,467/x
  3. Step 3: Cross multiply
    51,660x = 109,467 × 109,467
  4. Step 4: Simplify right side
    51,660x = 11,983,024,089
  5. Step 5: Solve for x
    x = 11,983,024,089/51,660
  6. Step 6: Final answer
    x = 231,959.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.