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Finding the Third Proportional to 125,514.38 and 275,825.25

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Solution

The third proportional to 125,514.38 and 275,825.25 is: 606,142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,514.38 : 275,825.25 = 275,825.25 : x
  2. Step 2: Convert to fraction form
    125,514.38/275,825.25 = 275,825.25/x
  3. Step 3: Cross multiply
    125,514.38x = 275,825.25 × 275,825.25
  4. Step 4: Simplify right side
    125,514.38x = 76,079,568,537.56
  5. Step 5: Solve for x
    x = 76,079,568,537.56/125,514.38
  6. Step 6: Final answer
    x = 606,142.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.