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Finding the Third Proportional to 67,864 and 147,400

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Solution

The third proportional to 67,864 and 147,400 is: 320,151.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,864 : 147,400 = 147,400 : x
  2. Step 2: Convert to fraction form
    67,864/147,400 = 147,400/x
  3. Step 3: Cross multiply
    67,864x = 147,400 × 147,400
  4. Step 4: Simplify right side
    67,864x = 21,726,760,000
  5. Step 5: Solve for x
    x = 21,726,760,000/67,864
  6. Step 6: Final answer
    x = 320,151.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.