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Finding the Third Proportional to 95,514.75 and 205,122.75

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Solution

The third proportional to 95,514.75 and 205,122.75 is: 440,511.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,514.75 : 205,122.75 = 205,122.75 : x
  2. Step 2: Convert to fraction form
    95,514.75/205,122.75 = 205,122.75/x
  3. Step 3: Cross multiply
    95,514.75x = 205,122.75 × 205,122.75
  4. Step 4: Simplify right side
    95,514.75x = 42,075,342,567.56
  5. Step 5: Solve for x
    x = 42,075,342,567.56/95,514.75
  6. Step 6: Final answer
    x = 440,511.47

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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.