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Finding the Third Proportional to 126,752 and 277,120

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Solution

The third proportional to 126,752 and 277,120 is: 605,872.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,752 : 277,120 = 277,120 : x
  2. Step 2: Convert to fraction form
    126,752/277,120 = 277,120/x
  3. Step 3: Cross multiply
    126,752x = 277,120 × 277,120
  4. Step 4: Simplify right side
    126,752x = 76,795,494,400
  5. Step 5: Solve for x
    x = 76,795,494,400/126,752
  6. Step 6: Final answer
    x = 605,872.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.