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Finding the Third Proportional to 75,751 and 112,161

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Solution

The third proportional to 75,751 and 112,161 is: 166,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,751 : 112,161 = 112,161 : x
  2. Step 2: Convert to fraction form
    75,751/112,161 = 112,161/x
  3. Step 3: Cross multiply
    75,751x = 112,161 × 112,161
  4. Step 4: Simplify right side
    75,751x = 12,580,089,921
  5. Step 5: Solve for x
    x = 12,580,089,921/75,751
  6. Step 6: Final answer
    x = 166,071.60

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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.