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Finding the Third Proportional to 72,976 and 109,994

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Solution

The third proportional to 72,976 and 109,994 is: 165,789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,976 : 109,994 = 109,994 : x
  2. Step 2: Convert to fraction form
    72,976/109,994 = 109,994/x
  3. Step 3: Cross multiply
    72,976x = 109,994 × 109,994
  4. Step 4: Simplify right side
    72,976x = 12,098,680,036
  5. Step 5: Solve for x
    x = 12,098,680,036/72,976
  6. Step 6: Final answer
    x = 165,789.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.