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Finding the Third Proportional to 103,671 and 155,902

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Solution

The third proportional to 103,671 and 155,902 is: 234,447.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,671 : 155,902 = 155,902 : x
  2. Step 2: Convert to fraction form
    103,671/155,902 = 155,902/x
  3. Step 3: Cross multiply
    103,671x = 155,902 × 155,902
  4. Step 4: Simplify right side
    103,671x = 24,305,433,604
  5. Step 5: Solve for x
    x = 24,305,433,604/103,671
  6. Step 6: Final answer
    x = 234,447.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.