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Finding the Third Proportional to 37,588 and 80,180

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Solution

The third proportional to 37,588 and 80,180 is: 171,034.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,588 : 80,180 = 80,180 : x
  2. Step 2: Convert to fraction form
    37,588/80,180 = 80,180/x
  3. Step 3: Cross multiply
    37,588x = 80,180 × 80,180
  4. Step 4: Simplify right side
    37,588x = 6,428,832,400
  5. Step 5: Solve for x
    x = 6,428,832,400/37,588
  6. Step 6: Final answer
    x = 171,034.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.