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Finding the Third Proportional to 37,622 and 80,113

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Solution

The third proportional to 37,622 and 80,113 is: 170,594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,622 : 80,113 = 80,113 : x
  2. Step 2: Convert to fraction form
    37,622/80,113 = 80,113/x
  3. Step 3: Cross multiply
    37,622x = 80,113 × 80,113
  4. Step 4: Simplify right side
    37,622x = 6,418,092,769
  5. Step 5: Solve for x
    x = 6,418,092,769/37,622
  6. Step 6: Final answer
    x = 170,594.14

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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.