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Finding the Third Proportional to 70,821 and 106,396.50

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Solution

The third proportional to 70,821 and 106,396.50 is: 159,842.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,821 : 106,396.50 = 106,396.50 : x
  2. Step 2: Convert to fraction form
    70,821/106,396.50 = 106,396.50/x
  3. Step 3: Cross multiply
    70,821x = 106,396.50 × 106,396.50
  4. Step 4: Simplify right side
    70,821x = 11,320,215,212.25
  5. Step 5: Solve for x
    x = 11,320,215,212.25/70,821
  6. Step 6: Final answer
    x = 159,842.63

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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.