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Finding the Third Proportional to 86,589 and 185,643

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Solution

The third proportional to 86,589 and 185,643 is: 398,010.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,589 : 185,643 = 185,643 : x
  2. Step 2: Convert to fraction form
    86,589/185,643 = 185,643/x
  3. Step 3: Cross multiply
    86,589x = 185,643 × 185,643
  4. Step 4: Simplify right side
    86,589x = 34,463,323,449
  5. Step 5: Solve for x
    x = 34,463,323,449/86,589
  6. Step 6: Final answer
    x = 398,010.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.