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Finding the Third Proportional to 71,986 and 108,627

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Solution

The third proportional to 71,986 and 108,627 is: 163,918.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,986 : 108,627 = 108,627 : x
  2. Step 2: Convert to fraction form
    71,986/108,627 = 108,627/x
  3. Step 3: Cross multiply
    71,986x = 108,627 × 108,627
  4. Step 4: Simplify right side
    71,986x = 11,799,825,129
  5. Step 5: Solve for x
    x = 11,799,825,129/71,986
  6. Step 6: Final answer
    x = 163,918.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.