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Finding the Third Proportional to 77,743 and 120,050

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Solution

The third proportional to 77,743 and 120,050 is: 185,380.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,743 : 120,050 = 120,050 : x
  2. Step 2: Convert to fraction form
    77,743/120,050 = 120,050/x
  3. Step 3: Cross multiply
    77,743x = 120,050 × 120,050
  4. Step 4: Simplify right side
    77,743x = 14,412,002,500
  5. Step 5: Solve for x
    x = 14,412,002,500/77,743
  6. Step 6: Final answer
    x = 185,380.07

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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.