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Finding the Third Proportional to 51,751 and 111,277

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Solution

The third proportional to 51,751 and 111,277 is: 239,272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,751 : 111,277 = 111,277 : x
  2. Step 2: Convert to fraction form
    51,751/111,277 = 111,277/x
  3. Step 3: Cross multiply
    51,751x = 111,277 × 111,277
  4. Step 4: Simplify right side
    51,751x = 12,382,570,729
  5. Step 5: Solve for x
    x = 12,382,570,729/51,751
  6. Step 6: Final answer
    x = 239,272.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.