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Finding the Third Proportional to 79,103 and 122,147

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Solution

The third proportional to 79,103 and 122,147 is: 188,613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,103 : 122,147 = 122,147 : x
  2. Step 2: Convert to fraction form
    79,103/122,147 = 122,147/x
  3. Step 3: Cross multiply
    79,103x = 122,147 × 122,147
  4. Step 4: Simplify right side
    79,103x = 14,919,889,609
  5. Step 5: Solve for x
    x = 14,919,889,609/79,103
  6. Step 6: Final answer
    x = 188,613.45

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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.