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Finding the Third Proportional to 126,592 and 269,544

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Solution

The third proportional to 126,592 and 269,544 is: 573,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,592 : 269,544 = 269,544 : x
  2. Step 2: Convert to fraction form
    126,592/269,544 = 269,544/x
  3. Step 3: Cross multiply
    126,592x = 269,544 × 269,544
  4. Step 4: Simplify right side
    126,592x = 72,653,967,936
  5. Step 5: Solve for x
    x = 72,653,967,936/126,592
  6. Step 6: Final answer
    x = 573,922.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.