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Finding the Third Proportional to 50,628 and 75,942

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Solution

The third proportional to 50,628 and 75,942 is: 113,913

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,628 : 75,942 = 75,942 : x
  2. Step 2: Convert to fraction form
    50,628/75,942 = 75,942/x
  3. Step 3: Cross multiply
    50,628x = 75,942 × 75,942
  4. Step 4: Simplify right side
    50,628x = 5,767,187,364
  5. Step 5: Solve for x
    x = 5,767,187,364/50,628
  6. Step 6: Final answer
    x = 113,913

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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.