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Finding the Third Proportional to 51,003 and 109,755

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Solution

The third proportional to 51,003 and 109,755 is: 236,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,003 : 109,755 = 109,755 : x
  2. Step 2: Convert to fraction form
    51,003/109,755 = 109,755/x
  3. Step 3: Cross multiply
    51,003x = 109,755 × 109,755
  4. Step 4: Simplify right side
    51,003x = 12,046,160,025
  5. Step 5: Solve for x
    x = 12,046,160,025/51,003
  6. Step 6: Final answer
    x = 236,185.32

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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.