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Finding the Third Proportional to 86,593.50 and 189,063

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Solution

The third proportional to 86,593.50 and 189,063 is: 412,788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,593.50 : 189,063 = 189,063 : x
  2. Step 2: Convert to fraction form
    86,593.50/189,063 = 189,063/x
  3. Step 3: Cross multiply
    86,593.50x = 189,063 × 189,063
  4. Step 4: Simplify right side
    86,593.50x = 35,744,817,969
  5. Step 5: Solve for x
    x = 35,744,817,969/86,593.50
  6. Step 6: Final answer
    x = 412,788.70

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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.