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Finding the Third Proportional to 102,928 and 139,016

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Solution

The third proportional to 102,928 and 139,016 is: 187,756.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,928 : 139,016 = 139,016 : x
  2. Step 2: Convert to fraction form
    102,928/139,016 = 139,016/x
  3. Step 3: Cross multiply
    102,928x = 139,016 × 139,016
  4. Step 4: Simplify right side
    102,928x = 19,325,448,256
  5. Step 5: Solve for x
    x = 19,325,448,256/102,928
  6. Step 6: Final answer
    x = 187,756.96

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.