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Finding the Third Proportional to 67,958 and 144,170

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Solution

The third proportional to 67,958 and 144,170 is: 305,850.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,958 : 144,170 = 144,170 : x
  2. Step 2: Convert to fraction form
    67,958/144,170 = 144,170/x
  3. Step 3: Cross multiply
    67,958x = 144,170 × 144,170
  4. Step 4: Simplify right side
    67,958x = 20,784,988,900
  5. Step 5: Solve for x
    x = 20,784,988,900/67,958
  6. Step 6: Final answer
    x = 305,850.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.