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Finding the Third Proportional to 49,142.25 and 74,120.63

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Solution

The third proportional to 49,142.25 and 74,120.63 is: 111,795.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,142.25 : 74,120.63 = 74,120.63 : x
  2. Step 2: Convert to fraction form
    49,142.25/74,120.63 = 74,120.63/x
  3. Step 3: Cross multiply
    49,142.25x = 74,120.63 × 74,120.63
  4. Step 4: Simplify right side
    49,142.25x = 5,493,867,050.39
  5. Step 5: Solve for x
    x = 5,493,867,050.39/49,142.25
  6. Step 6: Final answer
    x = 111,795.19

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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.