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Finding the Third Proportional to 126,936 and 270,174

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Solution

The third proportional to 126,936 and 270,174 is: 575,045.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,936 : 270,174 = 270,174 : x
  2. Step 2: Convert to fraction form
    126,936/270,174 = 270,174/x
  3. Step 3: Cross multiply
    126,936x = 270,174 × 270,174
  4. Step 4: Simplify right side
    126,936x = 72,993,990,276
  5. Step 5: Solve for x
    x = 72,993,990,276/126,936
  6. Step 6: Final answer
    x = 575,045.62

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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.