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Finding the Third Proportional to 50,121 and 118,741.50

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Solution

The third proportional to 50,121 and 118,741.50 is: 281,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,121 : 118,741.50 = 118,741.50 : x
  2. Step 2: Convert to fraction form
    50,121/118,741.50 = 118,741.50/x
  3. Step 3: Cross multiply
    50,121x = 118,741.50 × 118,741.50
  4. Step 4: Simplify right side
    50,121x = 14,099,543,822.25
  5. Step 5: Solve for x
    x = 14,099,543,822.25/50,121
  6. Step 6: Final answer
    x = 281,310.11

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.