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Finding the Third Proportional to 67,054.50 and 143,845

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Solution

The third proportional to 67,054.50 and 143,845 is: 308,575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,054.50 : 143,845 = 143,845 : x
  2. Step 2: Convert to fraction form
    67,054.50/143,845 = 143,845/x
  3. Step 3: Cross multiply
    67,054.50x = 143,845 × 143,845
  4. Step 4: Simplify right side
    67,054.50x = 20,691,384,025
  5. Step 5: Solve for x
    x = 20,691,384,025/67,054.50
  6. Step 6: Final answer
    x = 308,575.62

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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.