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Finding the Third Proportional to 79,902 and 173,751

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Solution

The third proportional to 79,902 and 173,751 is: 377,830.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,902 : 173,751 = 173,751 : x
  2. Step 2: Convert to fraction form
    79,902/173,751 = 173,751/x
  3. Step 3: Cross multiply
    79,902x = 173,751 × 173,751
  4. Step 4: Simplify right side
    79,902x = 30,189,410,001
  5. Step 5: Solve for x
    x = 30,189,410,001/79,902
  6. Step 6: Final answer
    x = 377,830.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.