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Finding the Third Proportional to 37,136 and 80,191

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Solution

The third proportional to 37,136 and 80,191 is: 173,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,136 : 80,191 = 80,191 : x
  2. Step 2: Convert to fraction form
    37,136/80,191 = 80,191/x
  3. Step 3: Cross multiply
    37,136x = 80,191 × 80,191
  4. Step 4: Simplify right side
    37,136x = 6,430,596,481
  5. Step 5: Solve for x
    x = 6,430,596,481/37,136
  6. Step 6: Final answer
    x = 173,163.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.