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Finding the Third Proportional to 81,983 and 176,881

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Solution

The third proportional to 81,983 and 176,881 is: 381,626.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,983 : 176,881 = 176,881 : x
  2. Step 2: Convert to fraction form
    81,983/176,881 = 176,881/x
  3. Step 3: Cross multiply
    81,983x = 176,881 × 176,881
  4. Step 4: Simplify right side
    81,983x = 31,286,888,161
  5. Step 5: Solve for x
    x = 31,286,888,161/81,983
  6. Step 6: Final answer
    x = 381,626.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.