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Finding the Third Proportional to 47,290 and 71,500

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Solution

The third proportional to 47,290 and 71,500 is: 108,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,290 : 71,500 = 71,500 : x
  2. Step 2: Convert to fraction form
    47,290/71,500 = 71,500/x
  3. Step 3: Cross multiply
    47,290x = 71,500 × 71,500
  4. Step 4: Simplify right side
    47,290x = 5,112,250,000
  5. Step 5: Solve for x
    x = 5,112,250,000/47,290
  6. Step 6: Final answer
    x = 108,104.25

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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.