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Finding the Third Proportional to 110,722 and 167,235

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Solution

The third proportional to 110,722 and 167,235 is: 252,592.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,722 : 167,235 = 167,235 : x
  2. Step 2: Convert to fraction form
    110,722/167,235 = 167,235/x
  3. Step 3: Cross multiply
    110,722x = 167,235 × 167,235
  4. Step 4: Simplify right side
    110,722x = 27,967,545,225
  5. Step 5: Solve for x
    x = 27,967,545,225/110,722
  6. Step 6: Final answer
    x = 252,592.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.