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Finding the Third Proportional to 126,936 and 277,200

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Solution

The third proportional to 126,936 and 277,200 is: 605,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,936 : 277,200 = 277,200 : x
  2. Step 2: Convert to fraction form
    126,936/277,200 = 277,200/x
  3. Step 3: Cross multiply
    126,936x = 277,200 × 277,200
  4. Step 4: Simplify right side
    126,936x = 76,839,840,000
  5. Step 5: Solve for x
    x = 76,839,840,000/126,936
  6. Step 6: Final answer
    x = 605,343.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.