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Finding the Third Proportional to 37,197 and 81,762

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Solution

The third proportional to 37,197 and 81,762 is: 179,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,197 : 81,762 = 81,762 : x
  2. Step 2: Convert to fraction form
    37,197/81,762 = 81,762/x
  3. Step 3: Cross multiply
    37,197x = 81,762 × 81,762
  4. Step 4: Simplify right side
    37,197x = 6,685,024,644
  5. Step 5: Solve for x
    x = 6,685,024,644/37,197
  6. Step 6: Final answer
    x = 179,719.46

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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.