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Finding the Third Proportional to 73,296 and 109,894

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Solution

The third proportional to 73,296 and 109,894 is: 164,766.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,296 : 109,894 = 109,894 : x
  2. Step 2: Convert to fraction form
    73,296/109,894 = 109,894/x
  3. Step 3: Cross multiply
    73,296x = 109,894 × 109,894
  4. Step 4: Simplify right side
    73,296x = 12,076,691,236
  5. Step 5: Solve for x
    x = 12,076,691,236/73,296
  6. Step 6: Final answer
    x = 164,766.03

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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.