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Finding the Third Proportional to 121,986 and 257,094

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Solution

The third proportional to 121,986 and 257,094 is: 541,843.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,986 : 257,094 = 257,094 : x
  2. Step 2: Convert to fraction form
    121,986/257,094 = 257,094/x
  3. Step 3: Cross multiply
    121,986x = 257,094 × 257,094
  4. Step 4: Simplify right side
    121,986x = 66,097,324,836
  5. Step 5: Solve for x
    x = 66,097,324,836/121,986
  6. Step 6: Final answer
    x = 541,843.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.