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Finding the Third Proportional to 135,230.50 and 192,214.50

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Solution

The third proportional to 135,230.50 and 192,214.50 is: 273,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,230.50 : 192,214.50 = 192,214.50 : x
  2. Step 2: Convert to fraction form
    135,230.50/192,214.50 = 192,214.50/x
  3. Step 3: Cross multiply
    135,230.50x = 192,214.50 × 192,214.50
  4. Step 4: Simplify right side
    135,230.50x = 36,946,414,010.25
  5. Step 5: Solve for x
    x = 36,946,414,010.25/135,230.50
  6. Step 6: Final answer
    x = 273,210.66

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.