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Finding the Third Proportional to 127,422 and 270,036

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Solution

The third proportional to 127,422 and 270,036 is: 572,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,422 : 270,036 = 270,036 : x
  2. Step 2: Convert to fraction form
    127,422/270,036 = 270,036/x
  3. Step 3: Cross multiply
    127,422x = 270,036 × 270,036
  4. Step 4: Simplify right side
    127,422x = 72,919,441,296
  5. Step 5: Solve for x
    x = 72,919,441,296/127,422
  6. Step 6: Final answer
    x = 572,267.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.