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Finding the Third Proportional to 78,802 and 168,677

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Solution

The third proportional to 78,802 and 168,677 is: 361,055.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,802 : 168,677 = 168,677 : x
  2. Step 2: Convert to fraction form
    78,802/168,677 = 168,677/x
  3. Step 3: Cross multiply
    78,802x = 168,677 × 168,677
  4. Step 4: Simplify right side
    78,802x = 28,451,930,329
  5. Step 5: Solve for x
    x = 28,451,930,329/78,802
  6. Step 6: Final answer
    x = 361,055.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.