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Finding the Third Proportional to 50,541 and 73,969.50

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Solution

The third proportional to 50,541 and 73,969.50 is: 108,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,541 : 73,969.50 = 73,969.50 : x
  2. Step 2: Convert to fraction form
    50,541/73,969.50 = 73,969.50/x
  3. Step 3: Cross multiply
    50,541x = 73,969.50 × 73,969.50
  4. Step 4: Simplify right side
    50,541x = 5,471,486,930.25
  5. Step 5: Solve for x
    x = 5,471,486,930.25/50,541
  6. Step 6: Final answer
    x = 108,258.38

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.