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Finding the Third Proportional to 37,180 and 79,976

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Solution

The third proportional to 37,180 and 79,976 is: 172,032.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,180 : 79,976 = 79,976 : x
  2. Step 2: Convert to fraction form
    37,180/79,976 = 79,976/x
  3. Step 3: Cross multiply
    37,180x = 79,976 × 79,976
  4. Step 4: Simplify right side
    37,180x = 6,396,160,576
  5. Step 5: Solve for x
    x = 6,396,160,576/37,180
  6. Step 6: Final answer
    x = 172,032.29

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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.