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Finding the Third Proportional to 124,213.50 and 189,600.75

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Solution

The third proportional to 124,213.50 and 189,600.75 is: 289,408.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,213.50 : 189,600.75 = 189,600.75 : x
  2. Step 2: Convert to fraction form
    124,213.50/189,600.75 = 189,600.75/x
  3. Step 3: Cross multiply
    124,213.50x = 189,600.75 × 189,600.75
  4. Step 4: Simplify right side
    124,213.50x = 35,948,444,400.56
  5. Step 5: Solve for x
    x = 35,948,444,400.56/124,213.50
  6. Step 6: Final answer
    x = 289,408.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.