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Finding the Third Proportional to 79,372 and 107,794

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Solution

The third proportional to 79,372 and 107,794 is: 146,393.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,372 : 107,794 = 107,794 : x
  2. Step 2: Convert to fraction form
    79,372/107,794 = 107,794/x
  3. Step 3: Cross multiply
    79,372x = 107,794 × 107,794
  4. Step 4: Simplify right side
    79,372x = 11,619,546,436
  5. Step 5: Solve for x
    x = 11,619,546,436/79,372
  6. Step 6: Final answer
    x = 146,393.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.