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Finding the Third Proportional to 49,274 and 111,700

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Solution

The third proportional to 49,274 and 111,700 is: 253,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,274 : 111,700 = 111,700 : x
  2. Step 2: Convert to fraction form
    49,274/111,700 = 111,700/x
  3. Step 3: Cross multiply
    49,274x = 111,700 × 111,700
  4. Step 4: Simplify right side
    49,274x = 12,476,890,000
  5. Step 5: Solve for x
    x = 12,476,890,000/49,274
  6. Step 6: Final answer
    x = 253,214.47

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.