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Finding the Third Proportional to 125,194 and 270,764

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Solution

The third proportional to 125,194 and 270,764 is: 585,596.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,194 : 270,764 = 270,764 : x
  2. Step 2: Convert to fraction form
    125,194/270,764 = 270,764/x
  3. Step 3: Cross multiply
    125,194x = 270,764 × 270,764
  4. Step 4: Simplify right side
    125,194x = 73,313,143,696
  5. Step 5: Solve for x
    x = 73,313,143,696/125,194
  6. Step 6: Final answer
    x = 585,596.30

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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.