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Finding the Third Proportional to 47,951 and 100,957

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Solution

The third proportional to 47,951 and 100,957 is: 212,556.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,951 : 100,957 = 100,957 : x
  2. Step 2: Convert to fraction form
    47,951/100,957 = 100,957/x
  3. Step 3: Cross multiply
    47,951x = 100,957 × 100,957
  4. Step 4: Simplify right side
    47,951x = 10,192,315,849
  5. Step 5: Solve for x
    x = 10,192,315,849/47,951
  6. Step 6: Final answer
    x = 212,556.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.