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Finding the Third Proportional to 50,824 and 79,004

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Solution

The third proportional to 50,824 and 79,004 is: 122,808.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,824 : 79,004 = 79,004 : x
  2. Step 2: Convert to fraction form
    50,824/79,004 = 79,004/x
  3. Step 3: Cross multiply
    50,824x = 79,004 × 79,004
  4. Step 4: Simplify right side
    50,824x = 6,241,632,016
  5. Step 5: Solve for x
    x = 6,241,632,016/50,824
  6. Step 6: Final answer
    x = 122,808.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.