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Finding the Third Proportional to 62,961 and 136,999

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Solution

The third proportional to 62,961 and 136,999 is: 298,100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,961 : 136,999 = 136,999 : x
  2. Step 2: Convert to fraction form
    62,961/136,999 = 136,999/x
  3. Step 3: Cross multiply
    62,961x = 136,999 × 136,999
  4. Step 4: Simplify right side
    62,961x = 18,768,726,001
  5. Step 5: Solve for x
    x = 18,768,726,001/62,961
  6. Step 6: Final answer
    x = 298,100.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.