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Finding the Third Proportional to 59,882 and 91,647

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Solution

The third proportional to 59,882 and 91,647 is: 140,262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,882 : 91,647 = 91,647 : x
  2. Step 2: Convert to fraction form
    59,882/91,647 = 91,647/x
  3. Step 3: Cross multiply
    59,882x = 91,647 × 91,647
  4. Step 4: Simplify right side
    59,882x = 8,399,172,609
  5. Step 5: Solve for x
    x = 8,399,172,609/59,882
  6. Step 6: Final answer
    x = 140,262.06

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.