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Finding the Third Proportional to 49,722 and 108,894

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Solution

The third proportional to 49,722 and 108,894 is: 238,484.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,722 : 108,894 = 108,894 : x
  2. Step 2: Convert to fraction form
    49,722/108,894 = 108,894/x
  3. Step 3: Cross multiply
    49,722x = 108,894 × 108,894
  4. Step 4: Simplify right side
    49,722x = 11,857,903,236
  5. Step 5: Solve for x
    x = 11,857,903,236/49,722
  6. Step 6: Final answer
    x = 238,484.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.