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Finding the Third Proportional to 51,823.50 and 111,016.50

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Solution

The third proportional to 51,823.50 and 111,016.50 is: 237,819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,823.50 : 111,016.50 = 111,016.50 : x
  2. Step 2: Convert to fraction form
    51,823.50/111,016.50 = 111,016.50/x
  3. Step 3: Cross multiply
    51,823.50x = 111,016.50 × 111,016.50
  4. Step 4: Simplify right side
    51,823.50x = 12,324,663,272.25
  5. Step 5: Solve for x
    x = 12,324,663,272.25/51,823.50
  6. Step 6: Final answer
    x = 237,819.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.