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Finding the Third Proportional to 51,856 and 111,080

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Solution

The third proportional to 51,856 and 111,080 is: 237,942.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,856 : 111,080 = 111,080 : x
  2. Step 2: Convert to fraction form
    51,856/111,080 = 111,080/x
  3. Step 3: Cross multiply
    51,856x = 111,080 × 111,080
  4. Step 4: Simplify right side
    51,856x = 12,338,766,400
  5. Step 5: Solve for x
    x = 12,338,766,400/51,856
  6. Step 6: Final answer
    x = 237,942.89

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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.