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Finding the Third Proportional to 49,136 and 104,696

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Solution

The third proportional to 49,136 and 104,696 is: 223,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,136 : 104,696 = 104,696 : x
  2. Step 2: Convert to fraction form
    49,136/104,696 = 104,696/x
  3. Step 3: Cross multiply
    49,136x = 104,696 × 104,696
  4. Step 4: Simplify right side
    49,136x = 10,961,252,416
  5. Step 5: Solve for x
    x = 10,961,252,416/49,136
  6. Step 6: Final answer
    x = 223,079.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.