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Finding the Third Proportional to 50,390 and 108,556

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Solution

The third proportional to 50,390 and 108,556 is: 233,863.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,390 : 108,556 = 108,556 : x
  2. Step 2: Convert to fraction form
    50,390/108,556 = 108,556/x
  3. Step 3: Cross multiply
    50,390x = 108,556 × 108,556
  4. Step 4: Simplify right side
    50,390x = 11,784,405,136
  5. Step 5: Solve for x
    x = 11,784,405,136/50,390
  6. Step 6: Final answer
    x = 233,863.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.