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Finding the Third Proportional to 50,113 and 107,978

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Solution

The third proportional to 50,113 and 107,978 is: 232,659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,113 : 107,978 = 107,978 : x
  2. Step 2: Convert to fraction form
    50,113/107,978 = 107,978/x
  3. Step 3: Cross multiply
    50,113x = 107,978 × 107,978
  4. Step 4: Simplify right side
    50,113x = 11,659,248,484
  5. Step 5: Solve for x
    x = 11,659,248,484/50,113
  6. Step 6: Final answer
    x = 232,659.16

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.