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Finding the Third Proportional to 109,721 and 239,548

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Solution

The third proportional to 109,721 and 239,548 is: 522,992.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,721 : 239,548 = 239,548 : x
  2. Step 2: Convert to fraction form
    109,721/239,548 = 239,548/x
  3. Step 3: Cross multiply
    109,721x = 239,548 × 239,548
  4. Step 4: Simplify right side
    109,721x = 57,383,244,304
  5. Step 5: Solve for x
    x = 57,383,244,304/109,721
  6. Step 6: Final answer
    x = 522,992.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.