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Finding the Third Proportional to 51,057 and 112,182

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Solution

The third proportional to 51,057 and 112,182 is: 246,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,057 : 112,182 = 112,182 : x
  2. Step 2: Convert to fraction form
    51,057/112,182 = 112,182/x
  3. Step 3: Cross multiply
    51,057x = 112,182 × 112,182
  4. Step 4: Simplify right side
    51,057x = 12,584,801,124
  5. Step 5: Solve for x
    x = 12,584,801,124/51,057
  6. Step 6: Final answer
    x = 246,485.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.