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Finding the Third Proportional to 47,244 and 76,123

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Solution

The third proportional to 47,244 and 76,123 is: 122,654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,244 : 76,123 = 76,123 : x
  2. Step 2: Convert to fraction form
    47,244/76,123 = 76,123/x
  3. Step 3: Cross multiply
    47,244x = 76,123 × 76,123
  4. Step 4: Simplify right side
    47,244x = 5,794,711,129
  5. Step 5: Solve for x
    x = 5,794,711,129/47,244
  6. Step 6: Final answer
    x = 122,654.96

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.