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Finding the Third Proportional to 48,082 and 103,828

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Solution

The third proportional to 48,082 and 103,828 is: 224,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,082 : 103,828 = 103,828 : x
  2. Step 2: Convert to fraction form
    48,082/103,828 = 103,828/x
  3. Step 3: Cross multiply
    48,082x = 103,828 × 103,828
  4. Step 4: Simplify right side
    48,082x = 10,780,253,584
  5. Step 5: Solve for x
    x = 10,780,253,584/48,082
  6. Step 6: Final answer
    x = 224,205.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.