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Finding the Third Proportional to 127,024 and 270,920

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Solution

The third proportional to 127,024 and 270,920 is: 577,825.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,024 : 270,920 = 270,920 : x
  2. Step 2: Convert to fraction form
    127,024/270,920 = 270,920/x
  3. Step 3: Cross multiply
    127,024x = 270,920 × 270,920
  4. Step 4: Simplify right side
    127,024x = 73,397,646,400
  5. Step 5: Solve for x
    x = 73,397,646,400/127,024
  6. Step 6: Final answer
    x = 577,825.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.