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Finding the Third Proportional to 99,162 and 144,589

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Solution

The third proportional to 99,162 and 144,589 is: 210,826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,162 : 144,589 = 144,589 : x
  2. Step 2: Convert to fraction form
    99,162/144,589 = 144,589/x
  3. Step 3: Cross multiply
    99,162x = 144,589 × 144,589
  4. Step 4: Simplify right side
    99,162x = 20,905,978,921
  5. Step 5: Solve for x
    x = 20,905,978,921/99,162
  6. Step 6: Final answer
    x = 210,826.52

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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.