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Finding the Third Proportional to 50,994 and 74,916

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Solution

The third proportional to 50,994 and 74,916 is: 110,060.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,994 : 74,916 = 74,916 : x
  2. Step 2: Convert to fraction form
    50,994/74,916 = 74,916/x
  3. Step 3: Cross multiply
    50,994x = 74,916 × 74,916
  4. Step 4: Simplify right side
    50,994x = 5,612,407,056
  5. Step 5: Solve for x
    x = 5,612,407,056/50,994
  6. Step 6: Final answer
    x = 110,060.15

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.