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Finding the Third Proportional to 103,695 and 154,825

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Solution

The third proportional to 103,695 and 154,825 is: 231,166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,695 : 154,825 = 154,825 : x
  2. Step 2: Convert to fraction form
    103,695/154,825 = 154,825/x
  3. Step 3: Cross multiply
    103,695x = 154,825 × 154,825
  4. Step 4: Simplify right side
    103,695x = 23,970,780,625
  5. Step 5: Solve for x
    x = 23,970,780,625/103,695
  6. Step 6: Final answer
    x = 231,166.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.