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Finding the Third Proportional to 85,147.13 and 182,514.75

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Solution

The third proportional to 85,147.13 and 182,514.75 is: 391,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,147.13 : 182,514.75 = 182,514.75 : x
  2. Step 2: Convert to fraction form
    85,147.13/182,514.75 = 182,514.75/x
  3. Step 3: Cross multiply
    85,147.13x = 182,514.75 × 182,514.75
  4. Step 4: Simplify right side
    85,147.13x = 33,311,633,967.56
  5. Step 5: Solve for x
    x = 33,311,633,967.56/85,147.13
  6. Step 6: Final answer
    x = 391,224.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.