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Finding the Third Proportional to 47,061 and 70,697

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Solution

The third proportional to 47,061 and 70,697 is: 106,203.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,061 : 70,697 = 70,697 : x
  2. Step 2: Convert to fraction form
    47,061/70,697 = 70,697/x
  3. Step 3: Cross multiply
    47,061x = 70,697 × 70,697
  4. Step 4: Simplify right side
    47,061x = 4,998,065,809
  5. Step 5: Solve for x
    x = 4,998,065,809/47,061
  6. Step 6: Final answer
    x = 106,203.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.