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Finding the Third Proportional to 141,048 and 214,164

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Solution

The third proportional to 141,048 and 214,164 is: 325,181.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,048 : 214,164 = 214,164 : x
  2. Step 2: Convert to fraction form
    141,048/214,164 = 214,164/x
  3. Step 3: Cross multiply
    141,048x = 214,164 × 214,164
  4. Step 4: Simplify right side
    141,048x = 45,866,218,896
  5. Step 5: Solve for x
    x = 45,866,218,896/141,048
  6. Step 6: Final answer
    x = 325,181.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.