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Finding the Third Proportional to 47,069 and 71,707

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Solution

The third proportional to 47,069 and 71,707 is: 109,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,069 : 71,707 = 71,707 : x
  2. Step 2: Convert to fraction form
    47,069/71,707 = 71,707/x
  3. Step 3: Cross multiply
    47,069x = 71,707 × 71,707
  4. Step 4: Simplify right side
    47,069x = 5,141,893,849
  5. Step 5: Solve for x
    x = 5,141,893,849/47,069
  6. Step 6: Final answer
    x = 109,241.62

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.