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Finding the Third Proportional to 48,226 and 73,978

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Solution

The third proportional to 48,226 and 73,978 is: 113,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,226 : 73,978 = 73,978 : x
  2. Step 2: Convert to fraction form
    48,226/73,978 = 73,978/x
  3. Step 3: Cross multiply
    48,226x = 73,978 × 73,978
  4. Step 4: Simplify right side
    48,226x = 5,472,744,484
  5. Step 5: Solve for x
    x = 5,472,744,484/48,226
  6. Step 6: Final answer
    x = 113,481.20

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.