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Finding the Third Proportional to 55,905.19 and 119,799

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Solution

The third proportional to 55,905.19 and 119,799 is: 256,716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,905.19 : 119,799 = 119,799 : x
  2. Step 2: Convert to fraction form
    55,905.19/119,799 = 119,799/x
  3. Step 3: Cross multiply
    55,905.19x = 119,799 × 119,799
  4. Step 4: Simplify right side
    55,905.19x = 14,351,800,401
  5. Step 5: Solve for x
    x = 14,351,800,401/55,905.19
  6. Step 6: Final answer
    x = 256,716.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.