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Finding the Third Proportional to 103,611 and 164,609

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Solution

The third proportional to 103,611 and 164,609 is: 261,517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,611 : 164,609 = 164,609 : x
  2. Step 2: Convert to fraction form
    103,611/164,609 = 164,609/x
  3. Step 3: Cross multiply
    103,611x = 164,609 × 164,609
  4. Step 4: Simplify right side
    103,611x = 27,096,122,881
  5. Step 5: Solve for x
    x = 27,096,122,881/103,611
  6. Step 6: Final answer
    x = 261,517.82

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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.