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Finding the Third Proportional to 80,906.63 and 125,619.75

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Solution

The third proportional to 80,906.63 and 125,619.75 is: 195,043.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,906.63 : 125,619.75 = 125,619.75 : x
  2. Step 2: Convert to fraction form
    80,906.63/125,619.75 = 125,619.75/x
  3. Step 3: Cross multiply
    80,906.63x = 125,619.75 × 125,619.75
  4. Step 4: Simplify right side
    80,906.63x = 15,780,321,590.06
  5. Step 5: Solve for x
    x = 15,780,321,590.06/80,906.63
  6. Step 6: Final answer
    x = 195,043.63

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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.