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Finding the Third Proportional to 122,743.50 and 190,500

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Solution

The third proportional to 122,743.50 and 190,500 is: 295,659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,743.50 : 190,500 = 190,500 : x
  2. Step 2: Convert to fraction form
    122,743.50/190,500 = 190,500/x
  3. Step 3: Cross multiply
    122,743.50x = 190,500 × 190,500
  4. Step 4: Simplify right side
    122,743.50x = 36,290,250,000
  5. Step 5: Solve for x
    x = 36,290,250,000/122,743.50
  6. Step 6: Final answer
    x = 295,659.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.