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Finding the Third Proportional to 46,993 and 71,978

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Solution

The third proportional to 46,993 and 71,978 is: 110,246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,993 : 71,978 = 71,978 : x
  2. Step 2: Convert to fraction form
    46,993/71,978 = 71,978/x
  3. Step 3: Cross multiply
    46,993x = 71,978 × 71,978
  4. Step 4: Simplify right side
    46,993x = 5,180,832,484
  5. Step 5: Solve for x
    x = 5,180,832,484/46,993
  6. Step 6: Final answer
    x = 110,246.90

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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.