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Finding the Third Proportional to 50,696 and 121,978

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Solution

The third proportional to 50,696 and 121,978 is: 293,487.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,696 : 121,978 = 121,978 : x
  2. Step 2: Convert to fraction form
    50,696/121,978 = 121,978/x
  3. Step 3: Cross multiply
    50,696x = 121,978 × 121,978
  4. Step 4: Simplify right side
    50,696x = 14,878,632,484
  5. Step 5: Solve for x
    x = 14,878,632,484/50,696
  6. Step 6: Final answer
    x = 293,487.31

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.