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Finding the Third Proportional to 49,640 and 108,205

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Solution

The third proportional to 49,640 and 108,205 is: 235,864.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,640 : 108,205 = 108,205 : x
  2. Step 2: Convert to fraction form
    49,640/108,205 = 108,205/x
  3. Step 3: Cross multiply
    49,640x = 108,205 × 108,205
  4. Step 4: Simplify right side
    49,640x = 11,708,322,025
  5. Step 5: Solve for x
    x = 11,708,322,025/49,640
  6. Step 6: Final answer
    x = 235,864.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.