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Finding the Third Proportional to 103,635 and 155,837

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Solution

The third proportional to 103,635 and 155,837 is: 234,333.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,635 : 155,837 = 155,837 : x
  2. Step 2: Convert to fraction form
    103,635/155,837 = 155,837/x
  3. Step 3: Cross multiply
    103,635x = 155,837 × 155,837
  4. Step 4: Simplify right side
    103,635x = 24,285,170,569
  5. Step 5: Solve for x
    x = 24,285,170,569/103,635
  6. Step 6: Final answer
    x = 234,333.68

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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.