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Finding the Third Proportional to 46,966 and 72,734

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Solution

The third proportional to 46,966 and 72,734 is: 112,639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,966 : 72,734 = 72,734 : x
  2. Step 2: Convert to fraction form
    46,966/72,734 = 72,734/x
  3. Step 3: Cross multiply
    46,966x = 72,734 × 72,734
  4. Step 4: Simplify right side
    46,966x = 5,290,234,756
  5. Step 5: Solve for x
    x = 5,290,234,756/46,966
  6. Step 6: Final answer
    x = 112,639.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.