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Finding the Third Proportional to 70,384 and 103,268

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Solution

The third proportional to 70,384 and 103,268 is: 151,515.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,384 : 103,268 = 103,268 : x
  2. Step 2: Convert to fraction form
    70,384/103,268 = 103,268/x
  3. Step 3: Cross multiply
    70,384x = 103,268 × 103,268
  4. Step 4: Simplify right side
    70,384x = 10,664,279,824
  5. Step 5: Solve for x
    x = 10,664,279,824/70,384
  6. Step 6: Final answer
    x = 151,515.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.