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Finding the Third Proportional to 50,402 and 107,176

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Solution

The third proportional to 50,402 and 107,176 is: 227,901.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,402 : 107,176 = 107,176 : x
  2. Step 2: Convert to fraction form
    50,402/107,176 = 107,176/x
  3. Step 3: Cross multiply
    50,402x = 107,176 × 107,176
  4. Step 4: Simplify right side
    50,402x = 11,486,694,976
  5. Step 5: Solve for x
    x = 11,486,694,976/50,402
  6. Step 6: Final answer
    x = 227,901.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.