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Finding the Third Proportional to 116,976 and 162,983

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Solution

The third proportional to 116,976 and 162,983 is: 227,084.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,976 : 162,983 = 162,983 : x
  2. Step 2: Convert to fraction form
    116,976/162,983 = 162,983/x
  3. Step 3: Cross multiply
    116,976x = 162,983 × 162,983
  4. Step 4: Simplify right side
    116,976x = 26,563,458,289
  5. Step 5: Solve for x
    x = 26,563,458,289/116,976
  6. Step 6: Final answer
    x = 227,084.69

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.