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Finding the Third Proportional to 77,733 and 120,035

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Solution

The third proportional to 77,733 and 120,035 is: 185,357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,733 : 120,035 = 120,035 : x
  2. Step 2: Convert to fraction form
    77,733/120,035 = 120,035/x
  3. Step 3: Cross multiply
    77,733x = 120,035 × 120,035
  4. Step 4: Simplify right side
    77,733x = 14,408,401,225
  5. Step 5: Solve for x
    x = 14,408,401,225/77,733
  6. Step 6: Final answer
    x = 185,357.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.