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Finding the Third Proportional to 67,024 and 143,771

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Solution

The third proportional to 67,024 and 143,771 is: 308,398.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,024 : 143,771 = 143,771 : x
  2. Step 2: Convert to fraction form
    67,024/143,771 = 143,771/x
  3. Step 3: Cross multiply
    67,024x = 143,771 × 143,771
  4. Step 4: Simplify right side
    67,024x = 20,670,100,441
  5. Step 5: Solve for x
    x = 20,670,100,441/67,024
  6. Step 6: Final answer
    x = 308,398.49

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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.