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Finding the Third Proportional to 125,188 and 270,036

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Solution

The third proportional to 125,188 and 270,036 is: 582,479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,188 : 270,036 = 270,036 : x
  2. Step 2: Convert to fraction form
    125,188/270,036 = 270,036/x
  3. Step 3: Cross multiply
    125,188x = 270,036 × 270,036
  4. Step 4: Simplify right side
    125,188x = 72,919,441,296
  5. Step 5: Solve for x
    x = 72,919,441,296/125,188
  6. Step 6: Final answer
    x = 582,479.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.