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Finding the Third Proportional to 36,116 and 75,116

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Solution

The third proportional to 36,116 and 75,116 is: 156,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,116 : 75,116 = 75,116 : x
  2. Step 2: Convert to fraction form
    36,116/75,116 = 75,116/x
  3. Step 3: Cross multiply
    36,116x = 75,116 × 75,116
  4. Step 4: Simplify right side
    36,116x = 5,642,413,456
  5. Step 5: Solve for x
    x = 5,642,413,456/36,116
  6. Step 6: Final answer
    x = 156,230.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.