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Finding the Third Proportional to 59,882 and 99,799

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Solution

The third proportional to 59,882 and 99,799 is: 166,324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,882 : 99,799 = 99,799 : x
  2. Step 2: Convert to fraction form
    59,882/99,799 = 99,799/x
  3. Step 3: Cross multiply
    59,882x = 99,799 × 99,799
  4. Step 4: Simplify right side
    59,882x = 9,959,840,401
  5. Step 5: Solve for x
    x = 9,959,840,401/59,882
  6. Step 6: Final answer
    x = 166,324.44

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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.