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Finding the Third Proportional to 141,912 and 213,460.31

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Solution

The third proportional to 141,912 and 213,460.31 is: 321,081.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,912 : 213,460.31 = 213,460.31 : x
  2. Step 2: Convert to fraction form
    141,912/213,460.31 = 213,460.31/x
  3. Step 3: Cross multiply
    141,912x = 213,460.31 × 213,460.31
  4. Step 4: Simplify right side
    141,912x = 45,565,305,012.60
  5. Step 5: Solve for x
    x = 45,565,305,012.60/141,912
  6. Step 6: Final answer
    x = 321,081.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.