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Finding the Third Proportional to 36,271 and 75,823

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Solution

The third proportional to 36,271 and 75,823 is: 158,504.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,271 : 75,823 = 75,823 : x
  2. Step 2: Convert to fraction form
    36,271/75,823 = 75,823/x
  3. Step 3: Cross multiply
    36,271x = 75,823 × 75,823
  4. Step 4: Simplify right side
    36,271x = 5,749,127,329
  5. Step 5: Solve for x
    x = 5,749,127,329/36,271
  6. Step 6: Final answer
    x = 158,504.79

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.