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Finding the Third Proportional to 107,640 and 167,244

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Solution

The third proportional to 107,640 and 167,244 is: 259,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,640 : 167,244 = 167,244 : x
  2. Step 2: Convert to fraction form
    107,640/167,244 = 167,244/x
  3. Step 3: Cross multiply
    107,640x = 167,244 × 167,244
  4. Step 4: Simplify right side
    107,640x = 27,970,555,536
  5. Step 5: Solve for x
    x = 27,970,555,536/107,640
  6. Step 6: Final answer
    x = 259,852.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.