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Finding the Third Proportional to 75,892 and 114,082

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Solution

The third proportional to 75,892 and 114,082 is: 171,489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,892 : 114,082 = 114,082 : x
  2. Step 2: Convert to fraction form
    75,892/114,082 = 114,082/x
  3. Step 3: Cross multiply
    75,892x = 114,082 × 114,082
  4. Step 4: Simplify right side
    75,892x = 13,014,702,724
  5. Step 5: Solve for x
    x = 13,014,702,724/75,892
  6. Step 6: Final answer
    x = 171,489.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.