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Finding the Third Proportional to 110,436 and 172,215

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Solution

The third proportional to 110,436 and 172,215 is: 268,553.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,436 : 172,215 = 172,215 : x
  2. Step 2: Convert to fraction form
    110,436/172,215 = 172,215/x
  3. Step 3: Cross multiply
    110,436x = 172,215 × 172,215
  4. Step 4: Simplify right side
    110,436x = 29,658,006,225
  5. Step 5: Solve for x
    x = 29,658,006,225/110,436
  6. Step 6: Final answer
    x = 268,553.79

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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.