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Finding the Third Proportional to 51,230 and 111,802

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Solution

The third proportional to 51,230 and 111,802 is: 243,991.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,230 : 111,802 = 111,802 : x
  2. Step 2: Convert to fraction form
    51,230/111,802 = 111,802/x
  3. Step 3: Cross multiply
    51,230x = 111,802 × 111,802
  4. Step 4: Simplify right side
    51,230x = 12,499,687,204
  5. Step 5: Solve for x
    x = 12,499,687,204/51,230
  6. Step 6: Final answer
    x = 243,991.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.