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Finding the Third Proportional to 37,080 and 81,189

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Solution

The third proportional to 37,080 and 81,189 is: 177,768.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,080 : 81,189 = 81,189 : x
  2. Step 2: Convert to fraction form
    37,080/81,189 = 81,189/x
  3. Step 3: Cross multiply
    37,080x = 81,189 × 81,189
  4. Step 4: Simplify right side
    37,080x = 6,591,653,721
  5. Step 5: Solve for x
    x = 6,591,653,721/37,080
  6. Step 6: Final answer
    x = 177,768.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.