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Finding the Third Proportional to 126,776 and 271,544

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Solution

The third proportional to 126,776 and 271,544 is: 581,625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,776 : 271,544 = 271,544 : x
  2. Step 2: Convert to fraction form
    126,776/271,544 = 271,544/x
  3. Step 3: Cross multiply
    126,776x = 271,544 × 271,544
  4. Step 4: Simplify right side
    126,776x = 73,736,143,936
  5. Step 5: Solve for x
    x = 73,736,143,936/126,776
  6. Step 6: Final answer
    x = 581,625.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.