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Finding the Third Proportional to 61,828 and 133,255

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Solution

The third proportional to 61,828 and 133,255 is: 287,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,828 : 133,255 = 133,255 : x
  2. Step 2: Convert to fraction form
    61,828/133,255 = 133,255/x
  3. Step 3: Cross multiply
    61,828x = 133,255 × 133,255
  4. Step 4: Simplify right side
    61,828x = 17,756,895,025
  5. Step 5: Solve for x
    x = 17,756,895,025/61,828
  6. Step 6: Final answer
    x = 287,198.28

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