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Finding the Third Proportional to 92,247 and 139,016

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Solution

The third proportional to 92,247 and 139,016 is: 209,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,247 : 139,016 = 139,016 : x
  2. Step 2: Convert to fraction form
    92,247/139,016 = 139,016/x
  3. Step 3: Cross multiply
    92,247x = 139,016 × 139,016
  4. Step 4: Simplify right side
    92,247x = 19,325,448,256
  5. Step 5: Solve for x
    x = 19,325,448,256/92,247
  6. Step 6: Final answer
    x = 209,496.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.