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Finding the Third Proportional to 77,577.75 and 119,799

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Solution

The third proportional to 77,577.75 and 119,799 is: 184,998.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,577.75 : 119,799 = 119,799 : x
  2. Step 2: Convert to fraction form
    77,577.75/119,799 = 119,799/x
  3. Step 3: Cross multiply
    77,577.75x = 119,799 × 119,799
  4. Step 4: Simplify right side
    77,577.75x = 14,351,800,401
  5. Step 5: Solve for x
    x = 14,351,800,401/77,577.75
  6. Step 6: Final answer
    x = 184,998.93

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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.