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Finding the Third Proportional to 51,027 and 109,866

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Solution

The third proportional to 51,027 and 109,866 is: 236,551.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,027 : 109,866 = 109,866 : x
  2. Step 2: Convert to fraction form
    51,027/109,866 = 109,866/x
  3. Step 3: Cross multiply
    51,027x = 109,866 × 109,866
  4. Step 4: Simplify right side
    51,027x = 12,070,537,956
  5. Step 5: Solve for x
    x = 12,070,537,956/51,027
  6. Step 6: Final answer
    x = 236,551.98

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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.