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Finding the Third Proportional to 37,166 and 79,372

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Solution

The third proportional to 37,166 and 79,372 is: 169,507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,166 : 79,372 = 79,372 : x
  2. Step 2: Convert to fraction form
    37,166/79,372 = 79,372/x
  3. Step 3: Cross multiply
    37,166x = 79,372 × 79,372
  4. Step 4: Simplify right side
    37,166x = 6,299,914,384
  5. Step 5: Solve for x
    x = 6,299,914,384/37,166
  6. Step 6: Final answer
    x = 169,507.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.