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Finding the Third Proportional to 67,053.50 and 143,843

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Solution

The third proportional to 67,053.50 and 143,843 is: 308,571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,053.50 : 143,843 = 143,843 : x
  2. Step 2: Convert to fraction form
    67,053.50/143,843 = 143,843/x
  3. Step 3: Cross multiply
    67,053.50x = 143,843 × 143,843
  4. Step 4: Simplify right side
    67,053.50x = 20,690,808,649
  5. Step 5: Solve for x
    x = 20,690,808,649/67,053.50
  6. Step 6: Final answer
    x = 308,571.64

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