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Finding the Third Proportional to 79,626 and 174,019

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Solution

The third proportional to 79,626 and 174,019 is: 380,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,626 : 174,019 = 174,019 : x
  2. Step 2: Convert to fraction form
    79,626/174,019 = 174,019/x
  3. Step 3: Cross multiply
    79,626x = 174,019 × 174,019
  4. Step 4: Simplify right side
    79,626x = 30,282,612,361
  5. Step 5: Solve for x
    x = 30,282,612,361/79,626
  6. Step 6: Final answer
    x = 380,310.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.