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Finding the Third Proportional to 112,099.50 and 166,552.31

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Solution

The third proportional to 112,099.50 and 166,552.31 is: 247,455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,099.50 : 166,552.31 = 166,552.31 : x
  2. Step 2: Convert to fraction form
    112,099.50/166,552.31 = 166,552.31/x
  3. Step 3: Cross multiply
    112,099.50x = 166,552.31 × 166,552.31
  4. Step 4: Simplify right side
    112,099.50x = 27,739,672,799.10
  5. Step 5: Solve for x
    x = 27,739,672,799.10/112,099.50
  6. Step 6: Final answer
    x = 247,455.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.