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Finding the Third Proportional to 57,106 and 122,962

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Solution

The third proportional to 57,106 and 122,962 is: 264,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,106 : 122,962 = 122,962 : x
  2. Step 2: Convert to fraction form
    57,106/122,962 = 122,962/x
  3. Step 3: Cross multiply
    57,106x = 122,962 × 122,962
  4. Step 4: Simplify right side
    57,106x = 15,119,653,444
  5. Step 5: Solve for x
    x = 15,119,653,444/57,106
  6. Step 6: Final answer
    x = 264,764.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.