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Finding the Third Proportional to 103,736 and 164,676

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Solution

The third proportional to 103,736 and 164,676 is: 261,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,736 : 164,676 = 164,676 : x
  2. Step 2: Convert to fraction form
    103,736/164,676 = 164,676/x
  3. Step 3: Cross multiply
    103,736x = 164,676 × 164,676
  4. Step 4: Simplify right side
    103,736x = 27,118,184,976
  5. Step 5: Solve for x
    x = 27,118,184,976/103,736
  6. Step 6: Final answer
    x = 261,415.37

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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.