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Finding the Third Proportional to 78,867 and 168,806

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Solution

The third proportional to 78,867 and 168,806 is: 361,310.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,867 : 168,806 = 168,806 : x
  2. Step 2: Convert to fraction form
    78,867/168,806 = 168,806/x
  3. Step 3: Cross multiply
    78,867x = 168,806 × 168,806
  4. Step 4: Simplify right side
    78,867x = 28,495,465,636
  5. Step 5: Solve for x
    x = 28,495,465,636/78,867
  6. Step 6: Final answer
    x = 361,310.38

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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.