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Finding the Third Proportional to 55,204 and 114,344

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Solution

The third proportional to 55,204 and 114,344 is: 236,840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,204 : 114,344 = 114,344 : x
  2. Step 2: Convert to fraction form
    55,204/114,344 = 114,344/x
  3. Step 3: Cross multiply
    55,204x = 114,344 × 114,344
  4. Step 4: Simplify right side
    55,204x = 13,074,550,336
  5. Step 5: Solve for x
    x = 13,074,550,336/55,204
  6. Step 6: Final answer
    x = 236,840.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.