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Finding the Third Proportional to 73,336 and 156,176

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Solution

The third proportional to 73,336 and 156,176 is: 332,591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,336 : 156,176 = 156,176 : x
  2. Step 2: Convert to fraction form
    73,336/156,176 = 156,176/x
  3. Step 3: Cross multiply
    73,336x = 156,176 × 156,176
  4. Step 4: Simplify right side
    73,336x = 24,390,942,976
  5. Step 5: Solve for x
    x = 24,390,942,976/73,336
  6. Step 6: Final answer
    x = 332,591.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.