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Finding the Third Proportional to 51,223.50 and 111,919.50

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Solution

The third proportional to 51,223.50 and 111,919.50 is: 244,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,223.50 : 111,919.50 = 111,919.50 : x
  2. Step 2: Convert to fraction form
    51,223.50/111,919.50 = 111,919.50/x
  3. Step 3: Cross multiply
    51,223.50x = 111,919.50 × 111,919.50
  4. Step 4: Simplify right side
    51,223.50x = 12,525,974,480.25
  5. Step 5: Solve for x
    x = 12,525,974,480.25/51,223.50
  6. Step 6: Final answer
    x = 244,535.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.