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Finding the Third Proportional to 37,797 and 79,239

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Solution

The third proportional to 37,797 and 79,239 is: 166,119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,797 : 79,239 = 79,239 : x
  2. Step 2: Convert to fraction form
    37,797/79,239 = 79,239/x
  3. Step 3: Cross multiply
    37,797x = 79,239 × 79,239
  4. Step 4: Simplify right side
    37,797x = 6,278,819,121
  5. Step 5: Solve for x
    x = 6,278,819,121/37,797
  6. Step 6: Final answer
    x = 166,119.51

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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.