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Finding the Third Proportional to 63,338 and 133,828

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Solution

The third proportional to 63,338 and 133,828 is: 282,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,338 : 133,828 = 133,828 : x
  2. Step 2: Convert to fraction form
    63,338/133,828 = 133,828/x
  3. Step 3: Cross multiply
    63,338x = 133,828 × 133,828
  4. Step 4: Simplify right side
    63,338x = 17,909,933,584
  5. Step 5: Solve for x
    x = 17,909,933,584/63,338
  6. Step 6: Final answer
    x = 282,767.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.