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Finding the Third Proportional to 50,390 and 109,852

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Solution

The third proportional to 50,390 and 109,852 is: 239,481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,390 : 109,852 = 109,852 : x
  2. Step 2: Convert to fraction form
    50,390/109,852 = 109,852/x
  3. Step 3: Cross multiply
    50,390x = 109,852 × 109,852
  4. Step 4: Simplify right side
    50,390x = 12,067,461,904
  5. Step 5: Solve for x
    x = 12,067,461,904/50,390
  6. Step 6: Final answer
    x = 239,481.28

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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.