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Finding the Third Proportional to 120,641 and 177,449

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Solution

The third proportional to 120,641 and 177,449 is: 261,007.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,641 : 177,449 = 177,449 : x
  2. Step 2: Convert to fraction form
    120,641/177,449 = 177,449/x
  3. Step 3: Cross multiply
    120,641x = 177,449 × 177,449
  4. Step 4: Simplify right side
    120,641x = 31,488,147,601
  5. Step 5: Solve for x
    x = 31,488,147,601/120,641
  6. Step 6: Final answer
    x = 261,007.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.