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Finding the Third Proportional to 30,632 and 68,176

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Solution

The third proportional to 30,632 and 68,176 is: 151,735.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,632 : 68,176 = 68,176 : x
  2. Step 2: Convert to fraction form
    30,632/68,176 = 68,176/x
  3. Step 3: Cross multiply
    30,632x = 68,176 × 68,176
  4. Step 4: Simplify right side
    30,632x = 4,647,966,976
  5. Step 5: Solve for x
    x = 4,647,966,976/30,632
  6. Step 6: Final answer
    x = 151,735.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.