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Finding the Third Proportional to 51,828 and 113,314.50

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Solution

The third proportional to 51,828 and 113,314.50 is: 247,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,828 : 113,314.50 = 113,314.50 : x
  2. Step 2: Convert to fraction form
    51,828/113,314.50 = 113,314.50/x
  3. Step 3: Cross multiply
    51,828x = 113,314.50 × 113,314.50
  4. Step 4: Simplify right side
    51,828x = 12,840,175,910.25
  5. Step 5: Solve for x
    x = 12,840,175,910.25/51,828
  6. Step 6: Final answer
    x = 247,745.93

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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.