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Finding the Third Proportional to 49,190 and 106,156

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Solution

The third proportional to 49,190 and 106,156 is: 229,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,190 : 106,156 = 106,156 : x
  2. Step 2: Convert to fraction form
    49,190/106,156 = 106,156/x
  3. Step 3: Cross multiply
    49,190x = 106,156 × 106,156
  4. Step 4: Simplify right side
    49,190x = 11,269,096,336
  5. Step 5: Solve for x
    x = 11,269,096,336/49,190
  6. Step 6: Final answer
    x = 229,093.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.