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Finding the Third Proportional to 37,611 and 77,604

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Solution

The third proportional to 37,611 and 77,604 is: 160,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,611 : 77,604 = 77,604 : x
  2. Step 2: Convert to fraction form
    37,611/77,604 = 77,604/x
  3. Step 3: Cross multiply
    37,611x = 77,604 × 77,604
  4. Step 4: Simplify right side
    37,611x = 6,022,380,816
  5. Step 5: Solve for x
    x = 6,022,380,816/37,611
  6. Step 6: Final answer
    x = 160,122.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.