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Finding the Third Proportional to 103,965 and 165,279

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Solution

The third proportional to 103,965 and 165,279 is: 262,753.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,965 : 165,279 = 165,279 : x
  2. Step 2: Convert to fraction form
    103,965/165,279 = 165,279/x
  3. Step 3: Cross multiply
    103,965x = 165,279 × 165,279
  4. Step 4: Simplify right side
    103,965x = 27,317,147,841
  5. Step 5: Solve for x
    x = 27,317,147,841/103,965
  6. Step 6: Final answer
    x = 262,753.31

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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.