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Finding the Third Proportional to 58,404.75 and 125,694.75

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Solution

The third proportional to 58,404.75 and 125,694.75 is: 270,511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,404.75 : 125,694.75 = 125,694.75 : x
  2. Step 2: Convert to fraction form
    58,404.75/125,694.75 = 125,694.75/x
  3. Step 3: Cross multiply
    58,404.75x = 125,694.75 × 125,694.75
  4. Step 4: Simplify right side
    58,404.75x = 15,799,170,177.56
  5. Step 5: Solve for x
    x = 15,799,170,177.56/58,404.75
  6. Step 6: Final answer
    x = 270,511.73

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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.