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Finding the Third Proportional to 119,135 and 255,546

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Solution

The third proportional to 119,135 and 255,546 is: 548,149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,135 : 255,546 = 255,546 : x
  2. Step 2: Convert to fraction form
    119,135/255,546 = 255,546/x
  3. Step 3: Cross multiply
    119,135x = 255,546 × 255,546
  4. Step 4: Simplify right side
    119,135x = 65,303,758,116
  5. Step 5: Solve for x
    x = 65,303,758,116/119,135
  6. Step 6: Final answer
    x = 548,149.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.