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Finding the Third Proportional to 54,237 and 111,115

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Solution

The third proportional to 54,237 and 111,115 is: 227,640.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,237 : 111,115 = 111,115 : x
  2. Step 2: Convert to fraction form
    54,237/111,115 = 111,115/x
  3. Step 3: Cross multiply
    54,237x = 111,115 × 111,115
  4. Step 4: Simplify right side
    54,237x = 12,346,543,225
  5. Step 5: Solve for x
    x = 12,346,543,225/54,237
  6. Step 6: Final answer
    x = 227,640.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.