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Finding the Third Proportional to 70,086 and 108,821

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Solution

The third proportional to 70,086 and 108,821 is: 168,963.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,086 : 108,821 = 108,821 : x
  2. Step 2: Convert to fraction form
    70,086/108,821 = 108,821/x
  3. Step 3: Cross multiply
    70,086x = 108,821 × 108,821
  4. Step 4: Simplify right side
    70,086x = 11,842,010,041
  5. Step 5: Solve for x
    x = 11,842,010,041/70,086
  6. Step 6: Final answer
    x = 168,963.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.