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Finding the Third Proportional to 89,866 and 140,961

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Solution

The third proportional to 89,866 and 140,961 is: 221,107.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,866 : 140,961 = 140,961 : x
  2. Step 2: Convert to fraction form
    89,866/140,961 = 140,961/x
  3. Step 3: Cross multiply
    89,866x = 140,961 × 140,961
  4. Step 4: Simplify right side
    89,866x = 19,870,003,521
  5. Step 5: Solve for x
    x = 19,870,003,521/89,866
  6. Step 6: Final answer
    x = 221,107.02

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.