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Finding the Third Proportional to 50,632 and 76,172

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Solution

The third proportional to 50,632 and 76,172 is: 114,594.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,632 : 76,172 = 76,172 : x
  2. Step 2: Convert to fraction form
    50,632/76,172 = 76,172/x
  3. Step 3: Cross multiply
    50,632x = 76,172 × 76,172
  4. Step 4: Simplify right side
    50,632x = 5,802,173,584
  5. Step 5: Solve for x
    x = 5,802,173,584/50,632
  6. Step 6: Final answer
    x = 114,594.99

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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.