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Finding the Third Proportional to 108,825 and 168,150

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Solution

The third proportional to 108,825 and 168,150 is: 259,815.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,825 : 168,150 = 168,150 : x
  2. Step 2: Convert to fraction form
    108,825/168,150 = 168,150/x
  3. Step 3: Cross multiply
    108,825x = 168,150 × 168,150
  4. Step 4: Simplify right side
    108,825x = 28,274,422,500
  5. Step 5: Solve for x
    x = 28,274,422,500/108,825
  6. Step 6: Final answer
    x = 259,815.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.