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Finding the Third Proportional to 50,674 and 76,315

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Solution

The third proportional to 50,674 and 76,315 is: 114,930.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,674 : 76,315 = 76,315 : x
  2. Step 2: Convert to fraction form
    50,674/76,315 = 76,315/x
  3. Step 3: Cross multiply
    50,674x = 76,315 × 76,315
  4. Step 4: Simplify right side
    50,674x = 5,823,979,225
  5. Step 5: Solve for x
    x = 5,823,979,225/50,674
  6. Step 6: Final answer
    x = 114,930.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.