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Finding the Third Proportional to 103,770 and 165,172

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Solution

The third proportional to 103,770 and 165,172 is: 262,906.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,770 : 165,172 = 165,172 : x
  2. Step 2: Convert to fraction form
    103,770/165,172 = 165,172/x
  3. Step 3: Cross multiply
    103,770x = 165,172 × 165,172
  4. Step 4: Simplify right side
    103,770x = 27,281,789,584
  5. Step 5: Solve for x
    x = 27,281,789,584/103,770
  6. Step 6: Final answer
    x = 262,906.33

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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.