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Finding the Third Proportional to 107,636 and 165,996

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Solution

The third proportional to 107,636 and 165,996 is: 255,998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,636 : 165,996 = 165,996 : x
  2. Step 2: Convert to fraction form
    107,636/165,996 = 165,996/x
  3. Step 3: Cross multiply
    107,636x = 165,996 × 165,996
  4. Step 4: Simplify right side
    107,636x = 27,554,672,016
  5. Step 5: Solve for x
    x = 27,554,672,016/107,636
  6. Step 6: Final answer
    x = 255,998.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.