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Finding the Third Proportional to 116,997 and 179,720

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Solution

The third proportional to 116,997 and 179,720 is: 276,069.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,997 : 179,720 = 179,720 : x
  2. Step 2: Convert to fraction form
    116,997/179,720 = 179,720/x
  3. Step 3: Cross multiply
    116,997x = 179,720 × 179,720
  4. Step 4: Simplify right side
    116,997x = 32,299,278,400
  5. Step 5: Solve for x
    x = 32,299,278,400/116,997
  6. Step 6: Final answer
    x = 276,069.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.