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Finding the Third Proportional to 61,828 and 133,736

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Solution

The third proportional to 61,828 and 133,736 is: 289,275.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,828 : 133,736 = 133,736 : x
  2. Step 2: Convert to fraction form
    61,828/133,736 = 133,736/x
  3. Step 3: Cross multiply
    61,828x = 133,736 × 133,736
  4. Step 4: Simplify right side
    61,828x = 17,885,317,696
  5. Step 5: Solve for x
    x = 17,885,317,696/61,828
  6. Step 6: Final answer
    x = 289,275.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.