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Finding the Third Proportional to 67,449 and 144,738

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Solution

The third proportional to 67,449 and 144,738 is: 310,591.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,449 : 144,738 = 144,738 : x
  2. Step 2: Convert to fraction form
    67,449/144,738 = 144,738/x
  3. Step 3: Cross multiply
    67,449x = 144,738 × 144,738
  4. Step 4: Simplify right side
    67,449x = 20,949,088,644
  5. Step 5: Solve for x
    x = 20,949,088,644/67,449
  6. Step 6: Final answer
    x = 310,591.54

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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.