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Finding the Third Proportional to 50,983 and 74,969

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Solution

The third proportional to 50,983 and 74,969 is: 110,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,983 : 74,969 = 74,969 : x
  2. Step 2: Convert to fraction form
    50,983/74,969 = 74,969/x
  3. Step 3: Cross multiply
    50,983x = 74,969 × 74,969
  4. Step 4: Simplify right side
    50,983x = 5,620,350,961
  5. Step 5: Solve for x
    x = 5,620,350,961/50,983
  6. Step 6: Final answer
    x = 110,239.71

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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.