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Finding the Third Proportional to 126,420 and 271,584

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Solution

The third proportional to 126,420 and 271,584 is: 583,435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,420 : 271,584 = 271,584 : x
  2. Step 2: Convert to fraction form
    126,420/271,584 = 271,584/x
  3. Step 3: Cross multiply
    126,420x = 271,584 × 271,584
  4. Step 4: Simplify right side
    126,420x = 73,757,869,056
  5. Step 5: Solve for x
    x = 73,757,869,056/126,420
  6. Step 6: Final answer
    x = 583,435.13

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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.