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Finding the Third Proportional to 50,991 and 74,986

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Solution

The third proportional to 50,991 and 74,986 is: 110,272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,991 : 74,986 = 74,986 : x
  2. Step 2: Convert to fraction form
    50,991/74,986 = 74,986/x
  3. Step 3: Cross multiply
    50,991x = 74,986 × 74,986
  4. Step 4: Simplify right side
    50,991x = 5,622,900,196
  5. Step 5: Solve for x
    x = 5,622,900,196/50,991
  6. Step 6: Final answer
    x = 110,272.40

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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.