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Finding the Third Proportional to 50,271 and 73,714.75

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Solution

The third proportional to 50,271 and 73,714.75 is: 108,091.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,271 : 73,714.75 = 73,714.75 : x
  2. Step 2: Convert to fraction form
    50,271/73,714.75 = 73,714.75/x
  3. Step 3: Cross multiply
    50,271x = 73,714.75 × 73,714.75
  4. Step 4: Simplify right side
    50,271x = 5,433,864,367.56
  5. Step 5: Solve for x
    x = 5,433,864,367.56/50,271
  6. Step 6: Final answer
    x = 108,091.43

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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.