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Finding the Third Proportional to 55,190.53 and 119,200.78

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Solution

The third proportional to 55,190.53 and 119,200.78 is: 257,450.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,190.53 : 119,200.78 = 119,200.78 : x
  2. Step 2: Convert to fraction form
    55,190.53/119,200.78 = 119,200.78/x
  3. Step 3: Cross multiply
    55,190.53x = 119,200.78 × 119,200.78
  4. Step 4: Simplify right side
    55,190.53x = 14,208,826,250.61
  5. Step 5: Solve for x
    x = 14,208,826,250.61/55,190.53
  6. Step 6: Final answer
    x = 257,450.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.