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Finding the Third Proportional to 51,674.50 and 79,039.50

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Solution

The third proportional to 51,674.50 and 79,039.50 is: 120,896.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,674.50 : 79,039.50 = 79,039.50 : x
  2. Step 2: Convert to fraction form
    51,674.50/79,039.50 = 79,039.50/x
  3. Step 3: Cross multiply
    51,674.50x = 79,039.50 × 79,039.50
  4. Step 4: Simplify right side
    51,674.50x = 6,247,242,560.25
  5. Step 5: Solve for x
    x = 6,247,242,560.25/51,674.50
  6. Step 6: Final answer
    x = 120,896.04

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.