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Finding the Third Proportional to 62,511.75 and 133,224.75

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Solution

The third proportional to 62,511.75 and 133,224.75 is: 283,927.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,511.75 : 133,224.75 = 133,224.75 : x
  2. Step 2: Convert to fraction form
    62,511.75/133,224.75 = 133,224.75/x
  3. Step 3: Cross multiply
    62,511.75x = 133,224.75 × 133,224.75
  4. Step 4: Simplify right side
    62,511.75x = 17,748,834,012.56
  5. Step 5: Solve for x
    x = 17,748,834,012.56/62,511.75
  6. Step 6: Final answer
    x = 283,927.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.