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Finding the Third Proportional to 49,239 and 107,390

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Solution

The third proportional to 49,239 and 107,390 is: 234,217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,239 : 107,390 = 107,390 : x
  2. Step 2: Convert to fraction form
    49,239/107,390 = 107,390/x
  3. Step 3: Cross multiply
    49,239x = 107,390 × 107,390
  4. Step 4: Simplify right side
    49,239x = 11,532,612,100
  5. Step 5: Solve for x
    x = 11,532,612,100/49,239
  6. Step 6: Final answer
    x = 234,217.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.