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Finding the Third Proportional to 51,944 and 112,638

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Solution

The third proportional to 51,944 and 112,638 is: 244,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,944 : 112,638 = 112,638 : x
  2. Step 2: Convert to fraction form
    51,944/112,638 = 112,638/x
  3. Step 3: Cross multiply
    51,944x = 112,638 × 112,638
  4. Step 4: Simplify right side
    51,944x = 12,687,319,044
  5. Step 5: Solve for x
    x = 12,687,319,044/51,944
  6. Step 6: Final answer
    x = 244,249.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.