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Finding the Third Proportional to 37,190 and 81,751

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Solution

The third proportional to 37,190 and 81,751 is: 179,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,190 : 81,751 = 81,751 : x
  2. Step 2: Convert to fraction form
    37,190/81,751 = 81,751/x
  3. Step 3: Cross multiply
    37,190x = 81,751 × 81,751
  4. Step 4: Simplify right side
    37,190x = 6,683,226,001
  5. Step 5: Solve for x
    x = 6,683,226,001/37,190
  6. Step 6: Final answer
    x = 179,704.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.