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Finding the Third Proportional to 62,254 and 133,256

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Solution

The third proportional to 62,254 and 133,256 is: 285,237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,254 : 133,256 = 133,256 : x
  2. Step 2: Convert to fraction form
    62,254/133,256 = 133,256/x
  3. Step 3: Cross multiply
    62,254x = 133,256 × 133,256
  4. Step 4: Simplify right side
    62,254x = 17,757,161,536
  5. Step 5: Solve for x
    x = 17,757,161,536/62,254
  6. Step 6: Final answer
    x = 285,237.28

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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.