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Finding the Third Proportional to 73,233.75 and 109,851

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Solution

The third proportional to 73,233.75 and 109,851 is: 164,777.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,233.75 : 109,851 = 109,851 : x
  2. Step 2: Convert to fraction form
    73,233.75/109,851 = 109,851/x
  3. Step 3: Cross multiply
    73,233.75x = 109,851 × 109,851
  4. Step 4: Simplify right side
    73,233.75x = 12,067,242,201
  5. Step 5: Solve for x
    x = 12,067,242,201/73,233.75
  6. Step 6: Final answer
    x = 164,777.06

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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.