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Finding the Third Proportional to 67,856.25 and 143,367.75

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Solution

The third proportional to 67,856.25 and 143,367.75 is: 302,909.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,856.25 : 143,367.75 = 143,367.75 : x
  2. Step 2: Convert to fraction form
    67,856.25/143,367.75 = 143,367.75/x
  3. Step 3: Cross multiply
    67,856.25x = 143,367.75 × 143,367.75
  4. Step 4: Simplify right side
    67,856.25x = 20,554,311,740.06
  5. Step 5: Solve for x
    x = 20,554,311,740.06/67,856.25
  6. Step 6: Final answer
    x = 302,909.63

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.