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Finding the Third Proportional to 51,771 and 73,410

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Solution

The third proportional to 51,771 and 73,410 is: 104,093.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,771 : 73,410 = 73,410 : x
  2. Step 2: Convert to fraction form
    51,771/73,410 = 73,410/x
  3. Step 3: Cross multiply
    51,771x = 73,410 × 73,410
  4. Step 4: Simplify right side
    51,771x = 5,389,028,100
  5. Step 5: Solve for x
    x = 5,389,028,100/51,771
  6. Step 6: Final answer
    x = 104,093.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.