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Finding the Third Proportional to 49,573.50 and 103,249.50

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Solution

The third proportional to 49,573.50 and 103,249.50 is: 215,043.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,573.50 : 103,249.50 = 103,249.50 : x
  2. Step 2: Convert to fraction form
    49,573.50/103,249.50 = 103,249.50/x
  3. Step 3: Cross multiply
    49,573.50x = 103,249.50 × 103,249.50
  4. Step 4: Simplify right side
    49,573.50x = 10,660,459,250.25
  5. Step 5: Solve for x
    x = 10,660,459,250.25/49,573.50
  6. Step 6: Final answer
    x = 215,043.51

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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.