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Finding the Third Proportional to 50,653 and 109,096

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Solution

The third proportional to 50,653 and 109,096 is: 234,970.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,653 : 109,096 = 109,096 : x
  2. Step 2: Convert to fraction form
    50,653/109,096 = 109,096/x
  3. Step 3: Cross multiply
    50,653x = 109,096 × 109,096
  4. Step 4: Simplify right side
    50,653x = 11,901,937,216
  5. Step 5: Solve for x
    x = 11,901,937,216/50,653
  6. Step 6: Final answer
    x = 234,970.04

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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.