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Finding the Third Proportional to 49,271 and 108,383

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Solution

The third proportional to 49,271 and 108,383 is: 238,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,271 : 108,383 = 108,383 : x
  2. Step 2: Convert to fraction form
    49,271/108,383 = 108,383/x
  3. Step 3: Cross multiply
    49,271x = 108,383 × 108,383
  4. Step 4: Simplify right side
    49,271x = 11,746,874,689
  5. Step 5: Solve for x
    x = 11,746,874,689/49,271
  6. Step 6: Final answer
    x = 238,413.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.