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Finding the Third Proportional to 57,824 and 126,230

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Solution

The third proportional to 57,824 and 126,230 is: 275,560.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,824 : 126,230 = 126,230 : x
  2. Step 2: Convert to fraction form
    57,824/126,230 = 126,230/x
  3. Step 3: Cross multiply
    57,824x = 126,230 × 126,230
  4. Step 4: Simplify right side
    57,824x = 15,934,012,900
  5. Step 5: Solve for x
    x = 15,934,012,900/57,824
  6. Step 6: Final answer
    x = 275,560.54

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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.