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Finding the Third Proportional to 54,835 and 113,978

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Solution

The third proportional to 54,835 and 113,978 is: 236,910.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,835 : 113,978 = 113,978 : x
  2. Step 2: Convert to fraction form
    54,835/113,978 = 113,978/x
  3. Step 3: Cross multiply
    54,835x = 113,978 × 113,978
  4. Step 4: Simplify right side
    54,835x = 12,990,984,484
  5. Step 5: Solve for x
    x = 12,990,984,484/54,835
  6. Step 6: Final answer
    x = 236,910.45

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.