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Finding the Third Proportional to 51,724.50 and 79,092

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Solution

The third proportional to 51,724.50 and 79,092 is: 120,939.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,724.50 : 79,092 = 79,092 : x
  2. Step 2: Convert to fraction form
    51,724.50/79,092 = 79,092/x
  3. Step 3: Cross multiply
    51,724.50x = 79,092 × 79,092
  4. Step 4: Simplify right side
    51,724.50x = 6,255,544,464
  5. Step 5: Solve for x
    x = 6,255,544,464/51,724.50
  6. Step 6: Final answer
    x = 120,939.68

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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.