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Finding the Third Proportional to 49,820 and 76,176

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Solution

The third proportional to 49,820 and 76,176 is: 116,474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,820 : 76,176 = 76,176 : x
  2. Step 2: Convert to fraction form
    49,820/76,176 = 76,176/x
  3. Step 3: Cross multiply
    49,820x = 76,176 × 76,176
  4. Step 4: Simplify right side
    49,820x = 5,802,782,976
  5. Step 5: Solve for x
    x = 5,802,782,976/49,820
  6. Step 6: Final answer
    x = 116,474.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.