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Finding the Third Proportional to 48,729 and 104,978

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Solution

The third proportional to 48,729 and 104,978 is: 226,156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,729 : 104,978 = 104,978 : x
  2. Step 2: Convert to fraction form
    48,729/104,978 = 104,978/x
  3. Step 3: Cross multiply
    48,729x = 104,978 × 104,978
  4. Step 4: Simplify right side
    48,729x = 11,020,380,484
  5. Step 5: Solve for x
    x = 11,020,380,484/48,729
  6. Step 6: Final answer
    x = 226,156.51

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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.