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Finding the Third Proportional to 79,299 and 122,734.13

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Solution

The third proportional to 79,299 and 122,734.13 is: 189,960.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,299 : 122,734.13 = 122,734.13 : x
  2. Step 2: Convert to fraction form
    79,299/122,734.13 = 122,734.13/x
  3. Step 3: Cross multiply
    79,299x = 122,734.13 × 122,734.13
  4. Step 4: Simplify right side
    79,299x = 15,063,665,439.52
  5. Step 5: Solve for x
    x = 15,063,665,439.52/79,299
  6. Step 6: Final answer
    x = 189,960.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.