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Finding the Third Proportional to 51,169 and 71,954

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Solution

The third proportional to 51,169 and 71,954 is: 101,181.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,169 : 71,954 = 71,954 : x
  2. Step 2: Convert to fraction form
    51,169/71,954 = 71,954/x
  3. Step 3: Cross multiply
    51,169x = 71,954 × 71,954
  4. Step 4: Simplify right side
    51,169x = 5,177,378,116
  5. Step 5: Solve for x
    x = 5,177,378,116/51,169
  6. Step 6: Final answer
    x = 101,181.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.