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Finding the Third Proportional to 49,524.75 and 103,153.50

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Solution

The third proportional to 49,524.75 and 103,153.50 is: 214,855.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,524.75 : 103,153.50 = 103,153.50 : x
  2. Step 2: Convert to fraction form
    49,524.75/103,153.50 = 103,153.50/x
  3. Step 3: Cross multiply
    49,524.75x = 103,153.50 × 103,153.50
  4. Step 4: Simplify right side
    49,524.75x = 10,640,644,562.25
  5. Step 5: Solve for x
    x = 10,640,644,562.25/49,524.75
  6. Step 6: Final answer
    x = 214,855.09

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.