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Finding the Third Proportional to 81,830.25 and 140,514.75

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Solution

The third proportional to 81,830.25 and 140,514.75 is: 241,284.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,830.25 : 140,514.75 = 140,514.75 : x
  2. Step 2: Convert to fraction form
    81,830.25/140,514.75 = 140,514.75/x
  3. Step 3: Cross multiply
    81,830.25x = 140,514.75 × 140,514.75
  4. Step 4: Simplify right side
    81,830.25x = 19,744,394,967.56
  5. Step 5: Solve for x
    x = 19,744,394,967.56/81,830.25
  6. Step 6: Final answer
    x = 241,284.79

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.