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Finding the Third Proportional to 55,740 and 119,256

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Solution

The third proportional to 55,740 and 119,256 is: 255,148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,740 : 119,256 = 119,256 : x
  2. Step 2: Convert to fraction form
    55,740/119,256 = 119,256/x
  3. Step 3: Cross multiply
    55,740x = 119,256 × 119,256
  4. Step 4: Simplify right side
    55,740x = 14,221,993,536
  5. Step 5: Solve for x
    x = 14,221,993,536/55,740
  6. Step 6: Final answer
    x = 255,148.79

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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.