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Finding the Third Proportional to 67,234 and 147,589

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Solution

The third proportional to 67,234 and 147,589 is: 323,980.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,234 : 147,589 = 147,589 : x
  2. Step 2: Convert to fraction form
    67,234/147,589 = 147,589/x
  3. Step 3: Cross multiply
    67,234x = 147,589 × 147,589
  4. Step 4: Simplify right side
    67,234x = 21,782,512,921
  5. Step 5: Solve for x
    x = 21,782,512,921/67,234
  6. Step 6: Final answer
    x = 323,980.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.