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Finding the Third Proportional to 51,171 and 71,652

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Solution

The third proportional to 51,171 and 71,652 is: 100,330.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,171 : 71,652 = 71,652 : x
  2. Step 2: Convert to fraction form
    51,171/71,652 = 71,652/x
  3. Step 3: Cross multiply
    51,171x = 71,652 × 71,652
  4. Step 4: Simplify right side
    51,171x = 5,134,009,104
  5. Step 5: Solve for x
    x = 5,134,009,104/51,171
  6. Step 6: Final answer
    x = 100,330.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.