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Finding the Third Proportional to 86,892 and 189,750

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Solution

The third proportional to 86,892 and 189,750 is: 414,365.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,892 : 189,750 = 189,750 : x
  2. Step 2: Convert to fraction form
    86,892/189,750 = 189,750/x
  3. Step 3: Cross multiply
    86,892x = 189,750 × 189,750
  4. Step 4: Simplify right side
    86,892x = 36,005,062,500
  5. Step 5: Solve for x
    x = 36,005,062,500/86,892
  6. Step 6: Final answer
    x = 414,365.68

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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.