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Finding the Third Proportional to 49,968 and 74,195

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Solution

The third proportional to 49,968 and 74,195 is: 110,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,968 : 74,195 = 74,195 : x
  2. Step 2: Convert to fraction form
    49,968/74,195 = 74,195/x
  3. Step 3: Cross multiply
    49,968x = 74,195 × 74,195
  4. Step 4: Simplify right side
    49,968x = 5,504,898,025
  5. Step 5: Solve for x
    x = 5,504,898,025/49,968
  6. Step 6: Final answer
    x = 110,168.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.