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Finding the Third Proportional to 59,858 and 91,086

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Solution

The third proportional to 59,858 and 91,086 is: 138,605.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,858 : 91,086 = 91,086 : x
  2. Step 2: Convert to fraction form
    59,858/91,086 = 91,086/x
  3. Step 3: Cross multiply
    59,858x = 91,086 × 91,086
  4. Step 4: Simplify right side
    59,858x = 8,296,659,396
  5. Step 5: Solve for x
    x = 8,296,659,396/59,858
  6. Step 6: Final answer
    x = 138,605.69

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.