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Finding the Third Proportional to 51,315.94 and 81,716.88

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Solution

The third proportional to 51,315.94 and 81,716.88 is: 130,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,315.94 : 81,716.88 = 81,716.88 : x
  2. Step 2: Convert to fraction form
    51,315.94/81,716.88 = 81,716.88/x
  3. Step 3: Cross multiply
    51,315.94x = 81,716.88 × 81,716.88
  4. Step 4: Simplify right side
    51,315.94x = 6,677,647,659.77
  5. Step 5: Solve for x
    x = 6,677,647,659.77/51,315.94
  6. Step 6: Final answer
    x = 130,128.14

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.