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Finding the Third Proportional to 122,836.50 and 185,120.44

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Solution

The third proportional to 122,836.50 and 185,120.44 is: 278,985.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,836.50 : 185,120.44 = 185,120.44 : x
  2. Step 2: Convert to fraction form
    122,836.50/185,120.44 = 185,120.44/x
  3. Step 3: Cross multiply
    122,836.50x = 185,120.44 × 185,120.44
  4. Step 4: Simplify right side
    122,836.50x = 34,269,576,380.19
  5. Step 5: Solve for x
    x = 34,269,576,380.19/122,836.50
  6. Step 6: Final answer
    x = 278,985.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.