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Finding the Third Proportional to 67,299 and 145,743

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Solution

The third proportional to 67,299 and 145,743 is: 315,621.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,299 : 145,743 = 145,743 : x
  2. Step 2: Convert to fraction form
    67,299/145,743 = 145,743/x
  3. Step 3: Cross multiply
    67,299x = 145,743 × 145,743
  4. Step 4: Simplify right side
    67,299x = 21,241,022,049
  5. Step 5: Solve for x
    x = 21,241,022,049/67,299
  6. Step 6: Final answer
    x = 315,621.66

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Why These Related Problems?

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