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Finding the Third Proportional to 51,012 and 111,059

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Solution

The third proportional to 51,012 and 111,059 is: 241,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,012 : 111,059 = 111,059 : x
  2. Step 2: Convert to fraction form
    51,012/111,059 = 111,059/x
  3. Step 3: Cross multiply
    51,012x = 111,059 × 111,059
  4. Step 4: Simplify right side
    51,012x = 12,334,101,481
  5. Step 5: Solve for x
    x = 12,334,101,481/51,012
  6. Step 6: Final answer
    x = 241,788.24

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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.