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Finding the Third Proportional to 48,084 and 104,844

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Solution

The third proportional to 48,084 and 104,844 is: 228,605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,084 : 104,844 = 104,844 : x
  2. Step 2: Convert to fraction form
    48,084/104,844 = 104,844/x
  3. Step 3: Cross multiply
    48,084x = 104,844 × 104,844
  4. Step 4: Simplify right side
    48,084x = 10,992,264,336
  5. Step 5: Solve for x
    x = 10,992,264,336/48,084
  6. Step 6: Final answer
    x = 228,605.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.