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Finding the Third Proportional to 49,238 and 108,318

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Solution

The third proportional to 49,238 and 108,318 is: 238,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,238 : 108,318 = 108,318 : x
  2. Step 2: Convert to fraction form
    49,238/108,318 = 108,318/x
  3. Step 3: Cross multiply
    49,238x = 108,318 × 108,318
  4. Step 4: Simplify right side
    49,238x = 11,732,789,124
  5. Step 5: Solve for x
    x = 11,732,789,124/49,238
  6. Step 6: Final answer
    x = 238,287.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.