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Finding the Third Proportional to 79,202 and 168,676

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Solution

The third proportional to 79,202 and 168,676 is: 359,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,202 : 168,676 = 168,676 : x
  2. Step 2: Convert to fraction form
    79,202/168,676 = 168,676/x
  3. Step 3: Cross multiply
    79,202x = 168,676 × 168,676
  4. Step 4: Simplify right side
    79,202x = 28,451,592,976
  5. Step 5: Solve for x
    x = 28,451,592,976/79,202
  6. Step 6: Final answer
    x = 359,228.21

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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.