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Finding the Third Proportional to 37,755 and 79,182

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Solution

The third proportional to 37,755 and 79,182 is: 166,065.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,755 : 79,182 = 79,182 : x
  2. Step 2: Convert to fraction form
    37,755/79,182 = 79,182/x
  3. Step 3: Cross multiply
    37,755x = 79,182 × 79,182
  4. Step 4: Simplify right side
    37,755x = 6,269,789,124
  5. Step 5: Solve for x
    x = 6,269,789,124/37,755
  6. Step 6: Final answer
    x = 166,065.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.