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Finding the Third Proportional to 47,412.75 and 100,860.75

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Solution

The third proportional to 47,412.75 and 100,860.75 is: 214,560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,412.75 : 100,860.75 = 100,860.75 : x
  2. Step 2: Convert to fraction form
    47,412.75/100,860.75 = 100,860.75/x
  3. Step 3: Cross multiply
    47,412.75x = 100,860.75 × 100,860.75
  4. Step 4: Simplify right side
    47,412.75x = 10,172,890,890.56
  5. Step 5: Solve for x
    x = 10,172,890,890.56/47,412.75
  6. Step 6: Final answer
    x = 214,560.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.