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Finding the Third Proportional to 110,696 and 172,956

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Solution

The third proportional to 110,696 and 172,956 is: 270,233.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,696 : 172,956 = 172,956 : x
  2. Step 2: Convert to fraction form
    110,696/172,956 = 172,956/x
  3. Step 3: Cross multiply
    110,696x = 172,956 × 172,956
  4. Step 4: Simplify right side
    110,696x = 29,913,777,936
  5. Step 5: Solve for x
    x = 29,913,777,936/110,696
  6. Step 6: Final answer
    x = 270,233.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.