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Finding the Third Proportional to 79,074 and 122,103

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Solution

The third proportional to 79,074 and 122,103 is: 188,546.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,074 : 122,103 = 122,103 : x
  2. Step 2: Convert to fraction form
    79,074/122,103 = 122,103/x
  3. Step 3: Cross multiply
    79,074x = 122,103 × 122,103
  4. Step 4: Simplify right side
    79,074x = 14,909,142,609
  5. Step 5: Solve for x
    x = 14,909,142,609/79,074
  6. Step 6: Final answer
    x = 188,546.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.