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Finding the Third Proportional to 40,739.63 and 85,199.63

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Solution

The third proportional to 40,739.63 and 85,199.63 is: 178,179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,739.63 : 85,199.63 = 85,199.63 : x
  2. Step 2: Convert to fraction form
    40,739.63/85,199.63 = 85,199.63/x
  3. Step 3: Cross multiply
    40,739.63x = 85,199.63 × 85,199.63
  4. Step 4: Simplify right side
    40,739.63x = 7,258,976,100.14
  5. Step 5: Solve for x
    x = 7,258,976,100.14/40,739.63
  6. Step 6: Final answer
    x = 178,179.75

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.