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Finding the Third Proportional to 73,793 and 110,705

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Solution

The third proportional to 73,793 and 110,705 is: 166,080.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,793 : 110,705 = 110,705 : x
  2. Step 2: Convert to fraction form
    73,793/110,705 = 110,705/x
  3. Step 3: Cross multiply
    73,793x = 110,705 × 110,705
  4. Step 4: Simplify right side
    73,793x = 12,255,597,025
  5. Step 5: Solve for x
    x = 12,255,597,025/73,793
  6. Step 6: Final answer
    x = 166,080.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.