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Finding the Third Proportional to 50,595.50 and 108,845

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Solution

The third proportional to 50,595.50 and 108,845 is: 234,155.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,595.50 : 108,845 = 108,845 : x
  2. Step 2: Convert to fraction form
    50,595.50/108,845 = 108,845/x
  3. Step 3: Cross multiply
    50,595.50x = 108,845 × 108,845
  4. Step 4: Simplify right side
    50,595.50x = 11,847,234,025
  5. Step 5: Solve for x
    x = 11,847,234,025/50,595.50
  6. Step 6: Final answer
    x = 234,155.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.