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Finding the Third Proportional to 51,765.75 and 110,909.25

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Solution

The third proportional to 51,765.75 and 110,909.25 is: 237,625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,765.75 : 110,909.25 = 110,909.25 : x
  2. Step 2: Convert to fraction form
    51,765.75/110,909.25 = 110,909.25/x
  3. Step 3: Cross multiply
    51,765.75x = 110,909.25 × 110,909.25
  4. Step 4: Simplify right side
    51,765.75x = 12,300,861,735.56
  5. Step 5: Solve for x
    x = 12,300,861,735.56/51,765.75
  6. Step 6: Final answer
    x = 237,625.49

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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.