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Finding the Third Proportional to 49,376.50 and 74,500.50

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Solution

The third proportional to 49,376.50 and 74,500.50 is: 112,408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,376.50 : 74,500.50 = 74,500.50 : x
  2. Step 2: Convert to fraction form
    49,376.50/74,500.50 = 74,500.50/x
  3. Step 3: Cross multiply
    49,376.50x = 74,500.50 × 74,500.50
  4. Step 4: Simplify right side
    49,376.50x = 5,550,324,500.25
  5. Step 5: Solve for x
    x = 5,550,324,500.25/49,376.50
  6. Step 6: Final answer
    x = 112,408.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.