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Finding the Third Proportional to 126,162 and 275,940

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Solution

The third proportional to 126,162 and 275,940 is: 603,532.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,162 : 275,940 = 275,940 : x
  2. Step 2: Convert to fraction form
    126,162/275,940 = 275,940/x
  3. Step 3: Cross multiply
    126,162x = 275,940 × 275,940
  4. Step 4: Simplify right side
    126,162x = 76,142,883,600
  5. Step 5: Solve for x
    x = 76,142,883,600/126,162
  6. Step 6: Final answer
    x = 603,532.63

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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.