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Finding the Third Proportional to 62,977 and 133,063

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Solution

The third proportional to 62,977 and 133,063 is: 281,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,977 : 133,063 = 133,063 : x
  2. Step 2: Convert to fraction form
    62,977/133,063 = 133,063/x
  3. Step 3: Cross multiply
    62,977x = 133,063 × 133,063
  4. Step 4: Simplify right side
    62,977x = 17,705,761,969
  5. Step 5: Solve for x
    x = 17,705,761,969/62,977
  6. Step 6: Final answer
    x = 281,146.48

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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.