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Finding the Third Proportional to 76,946 and 120,279

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Solution

The third proportional to 76,946 and 120,279 is: 188,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,946 : 120,279 = 120,279 : x
  2. Step 2: Convert to fraction form
    76,946/120,279 = 120,279/x
  3. Step 3: Cross multiply
    76,946x = 120,279 × 120,279
  4. Step 4: Simplify right side
    76,946x = 14,467,037,841
  5. Step 5: Solve for x
    x = 14,467,037,841/76,946
  6. Step 6: Final answer
    x = 188,015.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.