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Finding the Third Proportional to 80,504.50 and 105,893

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Solution

The third proportional to 80,504.50 and 105,893 is: 139,288.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,504.50 : 105,893 = 105,893 : x
  2. Step 2: Convert to fraction form
    80,504.50/105,893 = 105,893/x
  3. Step 3: Cross multiply
    80,504.50x = 105,893 × 105,893
  4. Step 4: Simplify right side
    80,504.50x = 11,213,327,449
  5. Step 5: Solve for x
    x = 11,213,327,449/80,504.50
  6. Step 6: Final answer
    x = 139,288.21

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.