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Finding the Third Proportional to 70,960 and 167,240

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Solution

The third proportional to 70,960 and 167,240 is: 394,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,960 : 167,240 = 167,240 : x
  2. Step 2: Convert to fraction form
    70,960/167,240 = 167,240/x
  3. Step 3: Cross multiply
    70,960x = 167,240 × 167,240
  4. Step 4: Simplify right side
    70,960x = 27,969,217,600
  5. Step 5: Solve for x
    x = 27,969,217,600/70,960
  6. Step 6: Final answer
    x = 394,154.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.