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Finding the Third Proportional to 55,892 and 119,782

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Solution

The third proportional to 55,892 and 119,782 is: 256,704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,892 : 119,782 = 119,782 : x
  2. Step 2: Convert to fraction form
    55,892/119,782 = 119,782/x
  3. Step 3: Cross multiply
    55,892x = 119,782 × 119,782
  4. Step 4: Simplify right side
    55,892x = 14,347,727,524
  5. Step 5: Solve for x
    x = 14,347,727,524/55,892
  6. Step 6: Final answer
    x = 256,704.49

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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.