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Finding the Third Proportional to 51,845 and 111,061

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Solution

The third proportional to 51,845 and 111,061 is: 237,911.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,845 : 111,061 = 111,061 : x
  2. Step 2: Convert to fraction form
    51,845/111,061 = 111,061/x
  3. Step 3: Cross multiply
    51,845x = 111,061 × 111,061
  4. Step 4: Simplify right side
    51,845x = 12,334,545,721
  5. Step 5: Solve for x
    x = 12,334,545,721/51,845
  6. Step 6: Final answer
    x = 237,911.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.