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Finding the Third Proportional to 126,936 and 268,128

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Solution

The third proportional to 126,936 and 268,128 is: 566,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,936 : 268,128 = 268,128 : x
  2. Step 2: Convert to fraction form
    126,936/268,128 = 268,128/x
  3. Step 3: Cross multiply
    126,936x = 268,128 × 268,128
  4. Step 4: Simplify right side
    126,936x = 71,892,624,384
  5. Step 5: Solve for x
    x = 71,892,624,384/126,936
  6. Step 6: Final answer
    x = 566,369.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.