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Finding the Third Proportional to 80,485.50 and 128,116

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Solution

The third proportional to 80,485.50 and 128,116 is: 203,933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,485.50 : 128,116 = 128,116 : x
  2. Step 2: Convert to fraction form
    80,485.50/128,116 = 128,116/x
  3. Step 3: Cross multiply
    80,485.50x = 128,116 × 128,116
  4. Step 4: Simplify right side
    80,485.50x = 16,413,709,456
  5. Step 5: Solve for x
    x = 16,413,709,456/80,485.50
  6. Step 6: Final answer
    x = 203,933.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.