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Finding the Third Proportional to 107,524 and 167,174

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Solution

The third proportional to 107,524 and 167,174 is: 259,915.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,524 : 167,174 = 167,174 : x
  2. Step 2: Convert to fraction form
    107,524/167,174 = 167,174/x
  3. Step 3: Cross multiply
    107,524x = 167,174 × 167,174
  4. Step 4: Simplify right side
    107,524x = 27,947,146,276
  5. Step 5: Solve for x
    x = 27,947,146,276/107,524
  6. Step 6: Final answer
    x = 259,915.43

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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.