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Finding the Third Proportional to 51,314.50 and 76,767

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Solution

The third proportional to 51,314.50 and 76,767 is: 114,844.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,314.50 : 76,767 = 76,767 : x
  2. Step 2: Convert to fraction form
    51,314.50/76,767 = 76,767/x
  3. Step 3: Cross multiply
    51,314.50x = 76,767 × 76,767
  4. Step 4: Simplify right side
    51,314.50x = 5,893,172,289
  5. Step 5: Solve for x
    x = 5,893,172,289/51,314.50
  6. Step 6: Final answer
    x = 114,844.19

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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.