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Finding the Third Proportional to 49,114 and 106,054

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Solution

The third proportional to 49,114 and 106,054 is: 229,007.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,114 : 106,054 = 106,054 : x
  2. Step 2: Convert to fraction form
    49,114/106,054 = 106,054/x
  3. Step 3: Cross multiply
    49,114x = 106,054 × 106,054
  4. Step 4: Simplify right side
    49,114x = 11,247,450,916
  5. Step 5: Solve for x
    x = 11,247,450,916/49,114
  6. Step 6: Final answer
    x = 229,007.02

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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.