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Finding the Third Proportional to 57,408.75 and 108,529.88

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Solution

The third proportional to 57,408.75 and 108,529.88 is: 205,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,408.75 : 108,529.88 = 108,529.88 : x
  2. Step 2: Convert to fraction form
    57,408.75/108,529.88 = 108,529.88/x
  3. Step 3: Cross multiply
    57,408.75x = 108,529.88 × 108,529.88
  4. Step 4: Simplify right side
    57,408.75x = 11,778,733,767.52
  5. Step 5: Solve for x
    x = 11,778,733,767.52/57,408.75
  6. Step 6: Final answer
    x = 205,173.14

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.