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Finding the Third Proportional to 51,531 and 109,812

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Solution

The third proportional to 51,531 and 109,812 is: 234,008.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,531 : 109,812 = 109,812 : x
  2. Step 2: Convert to fraction form
    51,531/109,812 = 109,812/x
  3. Step 3: Cross multiply
    51,531x = 109,812 × 109,812
  4. Step 4: Simplify right side
    51,531x = 12,058,675,344
  5. Step 5: Solve for x
    x = 12,058,675,344/51,531
  6. Step 6: Final answer
    x = 234,008.18

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.