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Finding the Third Proportional to 51,329 and 76,785

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Solution

The third proportional to 51,329 and 76,785 is: 114,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,329 : 76,785 = 76,785 : x
  2. Step 2: Convert to fraction form
    51,329/76,785 = 76,785/x
  3. Step 3: Cross multiply
    51,329x = 76,785 × 76,785
  4. Step 4: Simplify right side
    51,329x = 5,895,936,225
  5. Step 5: Solve for x
    x = 5,895,936,225/51,329
  6. Step 6: Final answer
    x = 114,865.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.