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Finding the Third Proportional to 49,774 and 104,158

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Solution

The third proportional to 49,774 and 104,158 is: 217,962.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,774 : 104,158 = 104,158 : x
  2. Step 2: Convert to fraction form
    49,774/104,158 = 104,158/x
  3. Step 3: Cross multiply
    49,774x = 104,158 × 104,158
  4. Step 4: Simplify right side
    49,774x = 10,848,888,964
  5. Step 5: Solve for x
    x = 10,848,888,964/49,774
  6. Step 6: Final answer
    x = 217,962.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.