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Finding the Third Proportional to 111,997 and 173,412

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Solution

The third proportional to 111,997 and 173,412 is: 268,504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,997 : 173,412 = 173,412 : x
  2. Step 2: Convert to fraction form
    111,997/173,412 = 173,412/x
  3. Step 3: Cross multiply
    111,997x = 173,412 × 173,412
  4. Step 4: Simplify right side
    111,997x = 30,071,721,744
  5. Step 5: Solve for x
    x = 30,071,721,744/111,997
  6. Step 6: Final answer
    x = 268,504.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.