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Finding the Third Proportional to 50,438 and 78,951

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Solution

The third proportional to 50,438 and 78,951 is: 123,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,438 : 78,951 = 78,951 : x
  2. Step 2: Convert to fraction form
    50,438/78,951 = 78,951/x
  3. Step 3: Cross multiply
    50,438x = 78,951 × 78,951
  4. Step 4: Simplify right side
    50,438x = 6,233,260,401
  5. Step 5: Solve for x
    x = 6,233,260,401/50,438
  6. Step 6: Final answer
    x = 123,582.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.