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Finding the Third Proportional to 51,246.84 and 80,384.06

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Solution

The third proportional to 51,246.84 and 80,384.06 is: 126,087.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,246.84 : 80,384.06 = 80,384.06 : x
  2. Step 2: Convert to fraction form
    51,246.84/80,384.06 = 80,384.06/x
  3. Step 3: Cross multiply
    51,246.84x = 80,384.06 × 80,384.06
  4. Step 4: Simplify right side
    51,246.84x = 6,461,597,504.00
  5. Step 5: Solve for x
    x = 6,461,597,504.00/51,246.84
  6. Step 6: Final answer
    x = 126,087.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.