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Finding the Third Proportional to 136,680.75 and 192,391.03

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Solution

The third proportional to 136,680.75 and 192,391.03 is: 270,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,680.75 : 192,391.03 = 192,391.03 : x
  2. Step 2: Convert to fraction form
    136,680.75/192,391.03 = 192,391.03/x
  3. Step 3: Cross multiply
    136,680.75x = 192,391.03 × 192,391.03
  4. Step 4: Simplify right side
    136,680.75x = 37,014,308,905.44
  5. Step 5: Solve for x
    x = 37,014,308,905.44/136,680.75
  6. Step 6: Final answer
    x = 270,808.50

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.