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Finding the Third Proportional to 103,234 and 157,812

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Solution

The third proportional to 103,234 and 157,812 is: 241,244.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,234 : 157,812 = 157,812 : x
  2. Step 2: Convert to fraction form
    103,234/157,812 = 157,812/x
  3. Step 3: Cross multiply
    103,234x = 157,812 × 157,812
  4. Step 4: Simplify right side
    103,234x = 24,904,627,344
  5. Step 5: Solve for x
    x = 24,904,627,344/103,234
  6. Step 6: Final answer
    x = 241,244.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.