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Finding the Third Proportional to 37,799 and 79,243

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Solution

The third proportional to 37,799 and 79,243 is: 166,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,799 : 79,243 = 79,243 : x
  2. Step 2: Convert to fraction form
    37,799/79,243 = 79,243/x
  3. Step 3: Cross multiply
    37,799x = 79,243 × 79,243
  4. Step 4: Simplify right side
    37,799x = 6,279,453,049
  5. Step 5: Solve for x
    x = 6,279,453,049/37,799
  6. Step 6: Final answer
    x = 166,127.49

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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.