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Finding the Third Proportional to 125,180 and 270,022

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Solution

The third proportional to 125,180 and 270,022 is: 582,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,180 : 270,022 = 270,022 : x
  2. Step 2: Convert to fraction form
    125,180/270,022 = 270,022/x
  3. Step 3: Cross multiply
    125,180x = 270,022 × 270,022
  4. Step 4: Simplify right side
    125,180x = 72,911,880,484
  5. Step 5: Solve for x
    x = 72,911,880,484/125,180
  6. Step 6: Final answer
    x = 582,456.31

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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.