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Finding the Third Proportional to 103,772 and 165,175

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Solution

The third proportional to 103,772 and 165,175 is: 262,910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,772 : 165,175 = 165,175 : x
  2. Step 2: Convert to fraction form
    103,772/165,175 = 165,175/x
  3. Step 3: Cross multiply
    103,772x = 165,175 × 165,175
  4. Step 4: Simplify right side
    103,772x = 27,282,780,625
  5. Step 5: Solve for x
    x = 27,282,780,625/103,772
  6. Step 6: Final answer
    x = 262,910.81

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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.