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Finding the Third Proportional to 59,891 and 99,822

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Solution

The third proportional to 59,891 and 99,822 is: 166,376.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,891 : 99,822 = 99,822 : x
  2. Step 2: Convert to fraction form
    59,891/99,822 = 99,822/x
  3. Step 3: Cross multiply
    59,891x = 99,822 × 99,822
  4. Step 4: Simplify right side
    59,891x = 9,964,431,684
  5. Step 5: Solve for x
    x = 9,964,431,684/59,891
  6. Step 6: Final answer
    x = 166,376.11

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.