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Finding the Third Proportional to 49,840 and 106,136

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Solution

The third proportional to 49,840 and 106,136 is: 226,020.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,840 : 106,136 = 106,136 : x
  2. Step 2: Convert to fraction form
    49,840/106,136 = 106,136/x
  3. Step 3: Cross multiply
    49,840x = 106,136 × 106,136
  4. Step 4: Simplify right side
    49,840x = 11,264,850,496
  5. Step 5: Solve for x
    x = 11,264,850,496/49,840
  6. Step 6: Final answer
    x = 226,020.27

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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.