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Finding the Third Proportional to 77,193 and 115,974

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Solution

The third proportional to 77,193 and 115,974 is: 174,238.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,193 : 115,974 = 115,974 : x
  2. Step 2: Convert to fraction form
    77,193/115,974 = 115,974/x
  3. Step 3: Cross multiply
    77,193x = 115,974 × 115,974
  4. Step 4: Simplify right side
    77,193x = 13,449,968,676
  5. Step 5: Solve for x
    x = 13,449,968,676/77,193
  6. Step 6: Final answer
    x = 174,238.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.