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Finding the Third Proportional to 57,846 and 126,762

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Solution

The third proportional to 57,846 and 126,762 is: 277,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,846 : 126,762 = 126,762 : x
  2. Step 2: Convert to fraction form
    57,846/126,762 = 126,762/x
  3. Step 3: Cross multiply
    57,846x = 126,762 × 126,762
  4. Step 4: Simplify right side
    57,846x = 16,068,604,644
  5. Step 5: Solve for x
    x = 16,068,604,644/57,846
  6. Step 6: Final answer
    x = 277,782.47

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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.