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Finding the Third Proportional to 61,849 and 133,010

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Solution

The third proportional to 61,849 and 133,010 is: 286,046.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,849 : 133,010 = 133,010 : x
  2. Step 2: Convert to fraction form
    61,849/133,010 = 133,010/x
  3. Step 3: Cross multiply
    61,849x = 133,010 × 133,010
  4. Step 4: Simplify right side
    61,849x = 17,691,660,100
  5. Step 5: Solve for x
    x = 17,691,660,100/61,849
  6. Step 6: Final answer
    x = 286,046.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.