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Finding the Third Proportional to 67,188 and 144,744

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Solution

The third proportional to 67,188 and 144,744 is: 311,823.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,188 : 144,744 = 144,744 : x
  2. Step 2: Convert to fraction form
    67,188/144,744 = 144,744/x
  3. Step 3: Cross multiply
    67,188x = 144,744 × 144,744
  4. Step 4: Simplify right side
    67,188x = 20,950,825,536
  5. Step 5: Solve for x
    x = 20,950,825,536/67,188
  6. Step 6: Final answer
    x = 311,823.92

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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.