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Finding the Third Proportional to 127,968 and 167,319

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Solution

The third proportional to 127,968 and 167,319 is: 218,770.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,968 : 167,319 = 167,319 : x
  2. Step 2: Convert to fraction form
    127,968/167,319 = 167,319/x
  3. Step 3: Cross multiply
    127,968x = 167,319 × 167,319
  4. Step 4: Simplify right side
    127,968x = 27,995,647,761
  5. Step 5: Solve for x
    x = 27,995,647,761/127,968
  6. Step 6: Final answer
    x = 218,770.69

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.