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Finding the Third Proportional to 40,170.94 and 76,696.88

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Solution

The third proportional to 40,170.94 and 76,696.88 is: 146,434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,170.94 : 76,696.88 = 76,696.88 : x
  2. Step 2: Convert to fraction form
    40,170.94/76,696.88 = 76,696.88/x
  3. Step 3: Cross multiply
    40,170.94x = 76,696.88 × 76,696.88
  4. Step 4: Simplify right side
    40,170.94x = 5,882,410,634.77
  5. Step 5: Solve for x
    x = 5,882,410,634.77/40,170.94
  6. Step 6: Final answer
    x = 146,434.49

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.