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Finding the Third Proportional to 50,494 and 106,312

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Solution

The third proportional to 50,494 and 106,312 is: 223,833.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,494 : 106,312 = 106,312 : x
  2. Step 2: Convert to fraction form
    50,494/106,312 = 106,312/x
  3. Step 3: Cross multiply
    50,494x = 106,312 × 106,312
  4. Step 4: Simplify right side
    50,494x = 11,302,241,344
  5. Step 5: Solve for x
    x = 11,302,241,344/50,494
  6. Step 6: Final answer
    x = 223,833.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.