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Finding the Third Proportional to 37,614 and 80,102

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Solution

The third proportional to 37,614 and 80,102 is: 170,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,614 : 80,102 = 80,102 : x
  2. Step 2: Convert to fraction form
    37,614/80,102 = 80,102/x
  3. Step 3: Cross multiply
    37,614x = 80,102 × 80,102
  4. Step 4: Simplify right side
    37,614x = 6,416,330,404
  5. Step 5: Solve for x
    x = 6,416,330,404/37,614
  6. Step 6: Final answer
    x = 170,583.57

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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.