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Finding the Third Proportional to 51,234 and 79,123

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Solution

The third proportional to 51,234 and 79,123 is: 122,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,234 : 79,123 = 79,123 : x
  2. Step 2: Convert to fraction form
    51,234/79,123 = 79,123/x
  3. Step 3: Cross multiply
    51,234x = 79,123 × 79,123
  4. Step 4: Simplify right side
    51,234x = 6,260,449,129
  5. Step 5: Solve for x
    x = 6,260,449,129/51,234
  6. Step 6: Final answer
    x = 122,193.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.