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Finding the Third Proportional to 50,330 and 108,856

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Solution

The third proportional to 50,330 and 108,856 is: 235,438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,330 : 108,856 = 108,856 : x
  2. Step 2: Convert to fraction form
    50,330/108,856 = 108,856/x
  3. Step 3: Cross multiply
    50,330x = 108,856 × 108,856
  4. Step 4: Simplify right side
    50,330x = 11,849,628,736
  5. Step 5: Solve for x
    x = 11,849,628,736/50,330
  6. Step 6: Final answer
    x = 235,438.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.