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Finding the Third Proportional to 51,959 and 111,687

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Solution

The third proportional to 51,959 and 111,687 is: 240,073.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,959 : 111,687 = 111,687 : x
  2. Step 2: Convert to fraction form
    51,959/111,687 = 111,687/x
  3. Step 3: Cross multiply
    51,959x = 111,687 × 111,687
  4. Step 4: Simplify right side
    51,959x = 12,473,985,969
  5. Step 5: Solve for x
    x = 12,473,985,969/51,959
  6. Step 6: Final answer
    x = 240,073.63

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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.