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Finding the Third Proportional to 51,971 and 114,171

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Solution

The third proportional to 51,971 and 114,171 is: 250,813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,971 : 114,171 = 114,171 : x
  2. Step 2: Convert to fraction form
    51,971/114,171 = 114,171/x
  3. Step 3: Cross multiply
    51,971x = 114,171 × 114,171
  4. Step 4: Simplify right side
    51,971x = 13,035,017,241
  5. Step 5: Solve for x
    x = 13,035,017,241/51,971
  6. Step 6: Final answer
    x = 250,813.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.