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Finding the Third Proportional to 104,328 and 165,936

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Solution

The third proportional to 104,328 and 165,936 is: 263,924.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,328 : 165,936 = 165,936 : x
  2. Step 2: Convert to fraction form
    104,328/165,936 = 165,936/x
  3. Step 3: Cross multiply
    104,328x = 165,936 × 165,936
  4. Step 4: Simplify right side
    104,328x = 27,534,756,096
  5. Step 5: Solve for x
    x = 27,534,756,096/104,328
  6. Step 6: Final answer
    x = 263,924.89

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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.