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Finding the Third Proportional to 45,052 and 104,405

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Solution

The third proportional to 45,052 and 104,405 is: 241,951.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,052 : 104,405 = 104,405 : x
  2. Step 2: Convert to fraction form
    45,052/104,405 = 104,405/x
  3. Step 3: Cross multiply
    45,052x = 104,405 × 104,405
  4. Step 4: Simplify right side
    45,052x = 10,900,404,025
  5. Step 5: Solve for x
    x = 10,900,404,025/45,052
  6. Step 6: Final answer
    x = 241,951.61

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.