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Finding the Third Proportional to 49,772 and 104,154

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Solution

The third proportional to 49,772 and 104,154 is: 217,954.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,772 : 104,154 = 104,154 : x
  2. Step 2: Convert to fraction form
    49,772/104,154 = 104,154/x
  3. Step 3: Cross multiply
    49,772x = 104,154 × 104,154
  4. Step 4: Simplify right side
    49,772x = 10,848,055,716
  5. Step 5: Solve for x
    x = 10,848,055,716/49,772
  6. Step 6: Final answer
    x = 217,954.99

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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.