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Finding the Third Proportional to 49,772 and 109,252

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Solution

The third proportional to 49,772 and 109,252 is: 239,813.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,772 : 109,252 = 109,252 : x
  2. Step 2: Convert to fraction form
    49,772/109,252 = 109,252/x
  3. Step 3: Cross multiply
    49,772x = 109,252 × 109,252
  4. Step 4: Simplify right side
    49,772x = 11,935,999,504
  5. Step 5: Solve for x
    x = 11,935,999,504/49,772
  6. Step 6: Final answer
    x = 239,813.54

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Why These Related Problems?

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