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Finding the Third Proportional to 59,067 and 94,751

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Solution

The third proportional to 59,067 and 94,751 is: 151,992.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,067 : 94,751 = 94,751 : x
  2. Step 2: Convert to fraction form
    59,067/94,751 = 94,751/x
  3. Step 3: Cross multiply
    59,067x = 94,751 × 94,751
  4. Step 4: Simplify right side
    59,067x = 8,977,752,001
  5. Step 5: Solve for x
    x = 8,977,752,001/59,067
  6. Step 6: Final answer
    x = 151,992.69

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.