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Finding the Third Proportional to 124,750.50 and 270,825

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Solution

The third proportional to 124,750.50 and 270,825 is: 587,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,750.50 : 270,825 = 270,825 : x
  2. Step 2: Convert to fraction form
    124,750.50/270,825 = 270,825/x
  3. Step 3: Cross multiply
    124,750.50x = 270,825 × 270,825
  4. Step 4: Simplify right side
    124,750.50x = 73,346,180,625
  5. Step 5: Solve for x
    x = 73,346,180,625/124,750.50
  6. Step 6: Final answer
    x = 587,942.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.