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Finding the Third Proportional to 51,111 and 111,084.75

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Solution

The third proportional to 51,111 and 111,084.75 is: 241,431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,111 : 111,084.75 = 111,084.75 : x
  2. Step 2: Convert to fraction form
    51,111/111,084.75 = 111,084.75/x
  3. Step 3: Cross multiply
    51,111x = 111,084.75 × 111,084.75
  4. Step 4: Simplify right side
    51,111x = 12,339,821,682.56
  5. Step 5: Solve for x
    x = 12,339,821,682.56/51,111
  6. Step 6: Final answer
    x = 241,431.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.