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Finding the Third Proportional to 72,832 and 109,266

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Solution

The third proportional to 72,832 and 109,266 is: 163,926.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,832 : 109,266 = 109,266 : x
  2. Step 2: Convert to fraction form
    72,832/109,266 = 109,266/x
  3. Step 3: Cross multiply
    72,832x = 109,266 × 109,266
  4. Step 4: Simplify right side
    72,832x = 11,939,058,756
  5. Step 5: Solve for x
    x = 11,939,058,756/72,832
  6. Step 6: Final answer
    x = 163,926.00

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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.