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Finding the Third Proportional to 53,018 and 116,244

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Solution

The third proportional to 53,018 and 116,244 is: 254,869.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,018 : 116,244 = 116,244 : x
  2. Step 2: Convert to fraction form
    53,018/116,244 = 116,244/x
  3. Step 3: Cross multiply
    53,018x = 116,244 × 116,244
  4. Step 4: Simplify right side
    53,018x = 13,512,667,536
  5. Step 5: Solve for x
    x = 13,512,667,536/53,018
  6. Step 6: Final answer
    x = 254,869.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.