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Finding the Third Proportional to 51,746 and 79,123

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Solution

The third proportional to 51,746 and 79,123 is: 120,984.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,746 : 79,123 = 79,123 : x
  2. Step 2: Convert to fraction form
    51,746/79,123 = 79,123/x
  3. Step 3: Cross multiply
    51,746x = 79,123 × 79,123
  4. Step 4: Simplify right side
    51,746x = 6,260,449,129
  5. Step 5: Solve for x
    x = 6,260,449,129/51,746
  6. Step 6: Final answer
    x = 120,984.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.