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Finding the Third Proportional to 45,162 and 69,891.75

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Solution

The third proportional to 45,162 and 69,891.75 is: 108,162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,162 : 69,891.75 = 69,891.75 : x
  2. Step 2: Convert to fraction form
    45,162/69,891.75 = 69,891.75/x
  3. Step 3: Cross multiply
    45,162x = 69,891.75 × 69,891.75
  4. Step 4: Simplify right side
    45,162x = 4,884,856,718.06
  5. Step 5: Solve for x
    x = 4,884,856,718.06/45,162
  6. Step 6: Final answer
    x = 108,162.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.