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Finding the Third Proportional to 107,067 and 166,732

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Solution

The third proportional to 107,067 and 166,732 is: 259,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,067 : 166,732 = 166,732 : x
  2. Step 2: Convert to fraction form
    107,067/166,732 = 166,732/x
  3. Step 3: Cross multiply
    107,067x = 166,732 × 166,732
  4. Step 4: Simplify right side
    107,067x = 27,799,559,824
  5. Step 5: Solve for x
    x = 27,799,559,824/107,067
  6. Step 6: Final answer
    x = 259,646.39

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