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Finding the Third Proportional to 51,450 and 112,738.50

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Solution

The third proportional to 51,450 and 112,738.50 is: 247,035.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,450 : 112,738.50 = 112,738.50 : x
  2. Step 2: Convert to fraction form
    51,450/112,738.50 = 112,738.50/x
  3. Step 3: Cross multiply
    51,450x = 112,738.50 × 112,738.50
  4. Step 4: Simplify right side
    51,450x = 12,709,969,382.25
  5. Step 5: Solve for x
    x = 12,709,969,382.25/51,450
  6. Step 6: Final answer
    x = 247,035.36

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.