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Finding the Third Proportional to 103,635 and 164,645

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Solution

The third proportional to 103,635 and 164,645 is: 261,571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,635 : 164,645 = 164,645 : x
  2. Step 2: Convert to fraction form
    103,635/164,645 = 164,645/x
  3. Step 3: Cross multiply
    103,635x = 164,645 × 164,645
  4. Step 4: Simplify right side
    103,635x = 27,107,976,025
  5. Step 5: Solve for x
    x = 27,107,976,025/103,635
  6. Step 6: Final answer
    x = 261,571.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.