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Finding the Third Proportional to 79,676 and 170,011

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Solution

The third proportional to 79,676 and 170,011 is: 362,765.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,676 : 170,011 = 170,011 : x
  2. Step 2: Convert to fraction form
    79,676/170,011 = 170,011/x
  3. Step 3: Cross multiply
    79,676x = 170,011 × 170,011
  4. Step 4: Simplify right side
    79,676x = 28,903,740,121
  5. Step 5: Solve for x
    x = 28,903,740,121/79,676
  6. Step 6: Final answer
    x = 362,765.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.