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Finding the Third Proportional to 66,099.75 and 99,297.56

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Solution

The third proportional to 66,099.75 and 99,297.56 is: 149,168.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,099.75 : 99,297.56 = 99,297.56 : x
  2. Step 2: Convert to fraction form
    66,099.75/99,297.56 = 99,297.56/x
  3. Step 3: Cross multiply
    66,099.75x = 99,297.56 × 99,297.56
  4. Step 4: Simplify right side
    66,099.75x = 9,860,005,918.44
  5. Step 5: Solve for x
    x = 9,860,005,918.44/66,099.75
  6. Step 6: Final answer
    x = 149,168.58

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Why These Related Problems?

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