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Finding the Third Proportional to 51,814.50 and 79,225.13

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Solution

The third proportional to 51,814.50 and 79,225.13 is: 121,136.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,814.50 : 79,225.13 = 79,225.13 : x
  2. Step 2: Convert to fraction form
    51,814.50/79,225.13 = 79,225.13/x
  3. Step 3: Cross multiply
    51,814.50x = 79,225.13 × 79,225.13
  4. Step 4: Simplify right side
    51,814.50x = 6,276,620,431.27
  5. Step 5: Solve for x
    x = 6,276,620,431.27/51,814.50
  6. Step 6: Final answer
    x = 121,136.37

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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.