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Finding the Third Proportional to 45,978 and 69,246

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Solution

The third proportional to 45,978 and 69,246 is: 104,289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,978 : 69,246 = 69,246 : x
  2. Step 2: Convert to fraction form
    45,978/69,246 = 69,246/x
  3. Step 3: Cross multiply
    45,978x = 69,246 × 69,246
  4. Step 4: Simplify right side
    45,978x = 4,795,008,516
  5. Step 5: Solve for x
    x = 4,795,008,516/45,978
  6. Step 6: Final answer
    x = 104,289.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.