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Finding the Third Proportional to 37,610 and 80,093

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Solution

The third proportional to 37,610 and 80,093 is: 170,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,610 : 80,093 = 80,093 : x
  2. Step 2: Convert to fraction form
    37,610/80,093 = 80,093/x
  3. Step 3: Cross multiply
    37,610x = 80,093 × 80,093
  4. Step 4: Simplify right side
    37,610x = 6,414,888,649
  5. Step 5: Solve for x
    x = 6,414,888,649/37,610
  6. Step 6: Final answer
    x = 170,563.38

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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.