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Finding the Third Proportional to 108,454.50 and 162,105.75

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Solution

The third proportional to 108,454.50 and 162,105.75 is: 242,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,454.50 : 162,105.75 = 162,105.75 : x
  2. Step 2: Convert to fraction form
    108,454.50/162,105.75 = 162,105.75/x
  3. Step 3: Cross multiply
    108,454.50x = 162,105.75 × 162,105.75
  4. Step 4: Simplify right side
    108,454.50x = 26,278,274,183.06
  5. Step 5: Solve for x
    x = 26,278,274,183.06/108,454.50
  6. Step 6: Final answer
    x = 242,297.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.