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Finding the Third Proportional to 67,236.75 and 144,847.41

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Solution

The third proportional to 67,236.75 and 144,847.41 is: 312,043.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,236.75 : 144,847.41 = 144,847.41 : x
  2. Step 2: Convert to fraction form
    67,236.75/144,847.41 = 144,847.41/x
  3. Step 3: Cross multiply
    67,236.75x = 144,847.41 × 144,847.41
  4. Step 4: Simplify right side
    67,236.75x = 20,980,771,097.35
  5. Step 5: Solve for x
    x = 20,980,771,097.35/67,236.75
  6. Step 6: Final answer
    x = 312,043.21

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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.