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Finding the Third Proportional to 75,749 and 112,165

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Solution

The third proportional to 75,749 and 112,165 is: 166,087.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,749 : 112,165 = 112,165 : x
  2. Step 2: Convert to fraction form
    75,749/112,165 = 112,165/x
  3. Step 3: Cross multiply
    75,749x = 112,165 × 112,165
  4. Step 4: Simplify right side
    75,749x = 12,580,987,225
  5. Step 5: Solve for x
    x = 12,580,987,225/75,749
  6. Step 6: Final answer
    x = 166,087.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.