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Finding the Third Proportional to 48,620 and 104,828

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Solution

The third proportional to 48,620 and 104,828 is: 226,016.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,620 : 104,828 = 104,828 : x
  2. Step 2: Convert to fraction form
    48,620/104,828 = 104,828/x
  3. Step 3: Cross multiply
    48,620x = 104,828 × 104,828
  4. Step 4: Simplify right side
    48,620x = 10,988,909,584
  5. Step 5: Solve for x
    x = 10,988,909,584/48,620
  6. Step 6: Final answer
    x = 226,016.24

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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.