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Finding the Third Proportional to 48,686 and 106,383

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Solution

The third proportional to 48,686 and 106,383 is: 232,455.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,686 : 106,383 = 106,383 : x
  2. Step 2: Convert to fraction form
    48,686/106,383 = 106,383/x
  3. Step 3: Cross multiply
    48,686x = 106,383 × 106,383
  4. Step 4: Simplify right side
    48,686x = 11,317,342,689
  5. Step 5: Solve for x
    x = 11,317,342,689/48,686
  6. Step 6: Final answer
    x = 232,455.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.