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Finding the Third Proportional to 57,296 and 124,420

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Solution

The third proportional to 57,296 and 124,420 is: 270,181.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,296 : 124,420 = 124,420 : x
  2. Step 2: Convert to fraction form
    57,296/124,420 = 124,420/x
  3. Step 3: Cross multiply
    57,296x = 124,420 × 124,420
  4. Step 4: Simplify right side
    57,296x = 15,480,336,400
  5. Step 5: Solve for x
    x = 15,480,336,400/57,296
  6. Step 6: Final answer
    x = 270,181.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.