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Finding the Third Proportional to 79,396 and 126,385

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Solution

The third proportional to 79,396 and 126,385 is: 201,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,396 : 126,385 = 126,385 : x
  2. Step 2: Convert to fraction form
    79,396/126,385 = 126,385/x
  3. Step 3: Cross multiply
    79,396x = 126,385 × 126,385
  4. Step 4: Simplify right side
    79,396x = 15,973,168,225
  5. Step 5: Solve for x
    x = 15,973,168,225/79,396
  6. Step 6: Final answer
    x = 201,183.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.