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Finding the Third Proportional to 57,842 and 126,754

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Solution

The third proportional to 57,842 and 126,754 is: 277,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,842 : 126,754 = 126,754 : x
  2. Step 2: Convert to fraction form
    57,842/126,754 = 126,754/x
  3. Step 3: Cross multiply
    57,842x = 126,754 × 126,754
  4. Step 4: Simplify right side
    57,842x = 16,066,576,516
  5. Step 5: Solve for x
    x = 16,066,576,516/57,842
  6. Step 6: Final answer
    x = 277,766.61

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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.