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Finding the Third Proportional to 79,162 and 168,704

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Solution

The third proportional to 79,162 and 168,704 is: 359,529.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,162 : 168,704 = 168,704 : x
  2. Step 2: Convert to fraction form
    79,162/168,704 = 168,704/x
  3. Step 3: Cross multiply
    79,162x = 168,704 × 168,704
  4. Step 4: Simplify right side
    79,162x = 28,461,039,616
  5. Step 5: Solve for x
    x = 28,461,039,616/79,162
  6. Step 6: Final answer
    x = 359,529.06

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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.