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Finding the Third Proportional to 126,416 and 271,593

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Solution

The third proportional to 126,416 and 271,593 is: 583,492.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,416 : 271,593 = 271,593 : x
  2. Step 2: Convert to fraction form
    126,416/271,593 = 271,593/x
  3. Step 3: Cross multiply
    126,416x = 271,593 × 271,593
  4. Step 4: Simplify right side
    126,416x = 73,762,757,649
  5. Step 5: Solve for x
    x = 73,762,757,649/126,416
  6. Step 6: Final answer
    x = 583,492.26

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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.