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Finding the Third Proportional to 89,976 and 139,866

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Solution

The third proportional to 89,976 and 139,866 is: 217,419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,976 : 139,866 = 139,866 : x
  2. Step 2: Convert to fraction form
    89,976/139,866 = 139,866/x
  3. Step 3: Cross multiply
    89,976x = 139,866 × 139,866
  4. Step 4: Simplify right side
    89,976x = 19,562,497,956
  5. Step 5: Solve for x
    x = 19,562,497,956/89,976
  6. Step 6: Final answer
    x = 217,419.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.