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Finding the Third Proportional to 38,918 and 83,668

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Solution

The third proportional to 38,918 and 83,668 is: 179,873.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,918 : 83,668 = 83,668 : x
  2. Step 2: Convert to fraction form
    38,918/83,668 = 83,668/x
  3. Step 3: Cross multiply
    38,918x = 83,668 × 83,668
  4. Step 4: Simplify right side
    38,918x = 7,000,334,224
  5. Step 5: Solve for x
    x = 7,000,334,224/38,918
  6. Step 6: Final answer
    x = 179,873.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.