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Finding the Third Proportional to 49,946 and 107,236

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Solution

The third proportional to 49,946 and 107,236 is: 230,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,946 : 107,236 = 107,236 : x
  2. Step 2: Convert to fraction form
    49,946/107,236 = 107,236/x
  3. Step 3: Cross multiply
    49,946x = 107,236 × 107,236
  4. Step 4: Simplify right side
    49,946x = 11,499,559,696
  5. Step 5: Solve for x
    x = 11,499,559,696/49,946
  6. Step 6: Final answer
    x = 230,239.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.