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Finding the Third Proportional to 86,589 and 135,351

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Solution

The third proportional to 86,589 and 135,351 is: 211,572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,589 : 135,351 = 135,351 : x
  2. Step 2: Convert to fraction form
    86,589/135,351 = 135,351/x
  3. Step 3: Cross multiply
    86,589x = 135,351 × 135,351
  4. Step 4: Simplify right side
    86,589x = 18,319,893,201
  5. Step 5: Solve for x
    x = 18,319,893,201/86,589
  6. Step 6: Final answer
    x = 211,572.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.