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Finding the Third Proportional to 50,927 and 109,655

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Solution

The third proportional to 50,927 and 109,655 is: 236,106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,927 : 109,655 = 109,655 : x
  2. Step 2: Convert to fraction form
    50,927/109,655 = 109,655/x
  3. Step 3: Cross multiply
    50,927x = 109,655 × 109,655
  4. Step 4: Simplify right side
    50,927x = 12,024,219,025
  5. Step 5: Solve for x
    x = 12,024,219,025/50,927
  6. Step 6: Final answer
    x = 236,106.96

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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.