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Finding the Third Proportional to 76,296 and 101,868

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Solution

The third proportional to 76,296 and 101,868 is: 136,010.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,296 : 101,868 = 101,868 : x
  2. Step 2: Convert to fraction form
    76,296/101,868 = 101,868/x
  3. Step 3: Cross multiply
    76,296x = 101,868 × 101,868
  4. Step 4: Simplify right side
    76,296x = 10,377,089,424
  5. Step 5: Solve for x
    x = 10,377,089,424/76,296
  6. Step 6: Final answer
    x = 136,010.92

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.