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Finding the Third Proportional to 67,453 and 144,747

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Solution

The third proportional to 67,453 and 144,747 is: 310,611.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,453 : 144,747 = 144,747 : x
  2. Step 2: Convert to fraction form
    67,453/144,747 = 144,747/x
  3. Step 3: Cross multiply
    67,453x = 144,747 × 144,747
  4. Step 4: Simplify right side
    67,453x = 20,951,694,009
  5. Step 5: Solve for x
    x = 20,951,694,009/67,453
  6. Step 6: Final answer
    x = 310,611.74

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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.