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Finding the Third Proportional to 50,210 and 79,491

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Solution

The third proportional to 50,210 and 79,491 is: 125,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,210 : 79,491 = 79,491 : x
  2. Step 2: Convert to fraction form
    50,210/79,491 = 79,491/x
  3. Step 3: Cross multiply
    50,210x = 79,491 × 79,491
  4. Step 4: Simplify right side
    50,210x = 6,318,819,081
  5. Step 5: Solve for x
    x = 6,318,819,081/50,210
  6. Step 6: Final answer
    x = 125,847.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.