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Finding the Third Proportional to 71,794 and 100,606

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Solution

The third proportional to 71,794 and 100,606 is: 140,980.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,794 : 100,606 = 100,606 : x
  2. Step 2: Convert to fraction form
    71,794/100,606 = 100,606/x
  3. Step 3: Cross multiply
    71,794x = 100,606 × 100,606
  4. Step 4: Simplify right side
    71,794x = 10,121,567,236
  5. Step 5: Solve for x
    x = 10,121,567,236/71,794
  6. Step 6: Final answer
    x = 140,980.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.