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Finding the Third Proportional to 105,954 and 165,189

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Solution

The third proportional to 105,954 and 165,189 is: 257,540.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,954 : 165,189 = 165,189 : x
  2. Step 2: Convert to fraction form
    105,954/165,189 = 165,189/x
  3. Step 3: Cross multiply
    105,954x = 165,189 × 165,189
  4. Step 4: Simplify right side
    105,954x = 27,287,405,721
  5. Step 5: Solve for x
    x = 27,287,405,721/105,954
  6. Step 6: Final answer
    x = 257,540.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.