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Finding the Third Proportional to 86,686 and 133,058

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Solution

The third proportional to 86,686 and 133,058 is: 204,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,686 : 133,058 = 133,058 : x
  2. Step 2: Convert to fraction form
    86,686/133,058 = 133,058/x
  3. Step 3: Cross multiply
    86,686x = 133,058 × 133,058
  4. Step 4: Simplify right side
    86,686x = 17,704,431,364
  5. Step 5: Solve for x
    x = 17,704,431,364/86,686
  6. Step 6: Final answer
    x = 204,236.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.