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Finding the Third Proportional to 123,956 and 254,504

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Solution

The third proportional to 123,956 and 254,504 is: 522,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,956 : 254,504 = 254,504 : x
  2. Step 2: Convert to fraction form
    123,956/254,504 = 254,504/x
  3. Step 3: Cross multiply
    123,956x = 254,504 × 254,504
  4. Step 4: Simplify right side
    123,956x = 64,772,286,016
  5. Step 5: Solve for x
    x = 64,772,286,016/123,956
  6. Step 6: Final answer
    x = 522,542.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.