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Finding the Third Proportional to 55,474 and 119,240

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Solution

The third proportional to 55,474 and 119,240 is: 256,303.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,474 : 119,240 = 119,240 : x
  2. Step 2: Convert to fraction form
    55,474/119,240 = 119,240/x
  3. Step 3: Cross multiply
    55,474x = 119,240 × 119,240
  4. Step 4: Simplify right side
    55,474x = 14,218,177,600
  5. Step 5: Solve for x
    x = 14,218,177,600/55,474
  6. Step 6: Final answer
    x = 256,303.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.