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Finding the Third Proportional to 80,226 and 91,890

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Solution

The third proportional to 80,226 and 91,890 is: 105,249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,226 : 91,890 = 91,890 : x
  2. Step 2: Convert to fraction form
    80,226/91,890 = 91,890/x
  3. Step 3: Cross multiply
    80,226x = 91,890 × 91,890
  4. Step 4: Simplify right side
    80,226x = 8,443,772,100
  5. Step 5: Solve for x
    x = 8,443,772,100/80,226
  6. Step 6: Final answer
    x = 105,249.82

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.