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Finding the Third Proportional to 109,641 and 239,571

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Solution

The third proportional to 109,641 and 239,571 is: 523,474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,641 : 239,571 = 239,571 : x
  2. Step 2: Convert to fraction form
    109,641/239,571 = 239,571/x
  3. Step 3: Cross multiply
    109,641x = 239,571 × 239,571
  4. Step 4: Simplify right side
    109,641x = 57,394,264,041
  5. Step 5: Solve for x
    x = 57,394,264,041/109,641
  6. Step 6: Final answer
    x = 523,474.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.