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Finding the Third Proportional to 80,962 and 113,218

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Solution

The third proportional to 80,962 and 113,218 is: 158,325.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,962 : 113,218 = 113,218 : x
  2. Step 2: Convert to fraction form
    80,962/113,218 = 113,218/x
  3. Step 3: Cross multiply
    80,962x = 113,218 × 113,218
  4. Step 4: Simplify right side
    80,962x = 12,818,315,524
  5. Step 5: Solve for x
    x = 12,818,315,524/80,962
  6. Step 6: Final answer
    x = 158,325.08

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.