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Finding the Third Proportional to 67,627 and 146,917

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Solution

The third proportional to 67,627 and 146,917 is: 319,171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,627 : 146,917 = 146,917 : x
  2. Step 2: Convert to fraction form
    67,627/146,917 = 146,917/x
  3. Step 3: Cross multiply
    67,627x = 146,917 × 146,917
  4. Step 4: Simplify right side
    67,627x = 21,584,604,889
  5. Step 5: Solve for x
    x = 21,584,604,889/67,627
  6. Step 6: Final answer
    x = 319,171.41

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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.