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Finding the Third Proportional to 50,744 and 72,124

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Solution

The third proportional to 50,744 and 72,124 is: 102,512.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,744 : 72,124 = 72,124 : x
  2. Step 2: Convert to fraction form
    50,744/72,124 = 72,124/x
  3. Step 3: Cross multiply
    50,744x = 72,124 × 72,124
  4. Step 4: Simplify right side
    50,744x = 5,201,871,376
  5. Step 5: Solve for x
    x = 5,201,871,376/50,744
  6. Step 6: Final answer
    x = 102,512.05

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.