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Finding the Third Proportional to 103,676 and 146,825

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Solution

The third proportional to 103,676 and 146,825 is: 207,932.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,676 : 146,825 = 146,825 : x
  2. Step 2: Convert to fraction form
    103,676/146,825 = 146,825/x
  3. Step 3: Cross multiply
    103,676x = 146,825 × 146,825
  4. Step 4: Simplify right side
    103,676x = 21,557,580,625
  5. Step 5: Solve for x
    x = 21,557,580,625/103,676
  6. Step 6: Final answer
    x = 207,932.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.