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Finding the Third Proportional to 47,284 and 112,450

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Solution

The third proportional to 47,284 and 112,450 is: 267,426.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,284 : 112,450 = 112,450 : x
  2. Step 2: Convert to fraction form
    47,284/112,450 = 112,450/x
  3. Step 3: Cross multiply
    47,284x = 112,450 × 112,450
  4. Step 4: Simplify right side
    47,284x = 12,645,002,500
  5. Step 5: Solve for x
    x = 12,645,002,500/47,284
  6. Step 6: Final answer
    x = 267,426.67

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.