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Finding the Third Proportional to 50,576 and 118,184

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Solution

The third proportional to 50,576 and 118,184 is: 276,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,576 : 118,184 = 118,184 : x
  2. Step 2: Convert to fraction form
    50,576/118,184 = 118,184/x
  3. Step 3: Cross multiply
    50,576x = 118,184 × 118,184
  4. Step 4: Simplify right side
    50,576x = 13,967,457,856
  5. Step 5: Solve for x
    x = 13,967,457,856/50,576
  6. Step 6: Final answer
    x = 276,167.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.