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Finding the Third Proportional to 126,497.25 and 271,754.44

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Solution

The third proportional to 126,497.25 and 271,754.44 is: 583,810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,497.25 : 271,754.44 = 271,754.44 : x
  2. Step 2: Convert to fraction form
    126,497.25/271,754.44 = 271,754.44/x
  3. Step 3: Cross multiply
    126,497.25x = 271,754.44 × 271,754.44
  4. Step 4: Simplify right side
    126,497.25x = 73,850,474,300.94
  5. Step 5: Solve for x
    x = 73,850,474,300.94/126,497.25
  6. Step 6: Final answer
    x = 583,810.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.