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Finding the Third Proportional to 23,162 and 45,168

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Solution

The third proportional to 23,162 and 45,168 is: 88,081.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,162 : 45,168 = 45,168 : x
  2. Step 2: Convert to fraction form
    23,162/45,168 = 45,168/x
  3. Step 3: Cross multiply
    23,162x = 45,168 × 45,168
  4. Step 4: Simplify right side
    23,162x = 2,040,148,224
  5. Step 5: Solve for x
    x = 2,040,148,224/23,162
  6. Step 6: Final answer
    x = 88,081.70

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.