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Finding the Third Proportional to 55,756 and 119,180

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Solution

The third proportional to 55,756 and 119,180 is: 254,750.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,756 : 119,180 = 119,180 : x
  2. Step 2: Convert to fraction form
    55,756/119,180 = 119,180/x
  3. Step 3: Cross multiply
    55,756x = 119,180 × 119,180
  4. Step 4: Simplify right side
    55,756x = 14,203,872,400
  5. Step 5: Solve for x
    x = 14,203,872,400/55,756
  6. Step 6: Final answer
    x = 254,750.56

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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.