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Finding the Third Proportional to 107,016 and 165,934

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Solution

The third proportional to 107,016 and 165,934 is: 257,289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,016 : 165,934 = 165,934 : x
  2. Step 2: Convert to fraction form
    107,016/165,934 = 165,934/x
  3. Step 3: Cross multiply
    107,016x = 165,934 × 165,934
  4. Step 4: Simplify right side
    107,016x = 27,534,092,356
  5. Step 5: Solve for x
    x = 27,534,092,356/107,016
  6. Step 6: Final answer
    x = 257,289.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.