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Finding the Third Proportional to 49,609 and 109,095

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Solution

The third proportional to 49,609 and 109,095 is: 239,910.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,609 : 109,095 = 109,095 : x
  2. Step 2: Convert to fraction form
    49,609/109,095 = 109,095/x
  3. Step 3: Cross multiply
    49,609x = 109,095 × 109,095
  4. Step 4: Simplify right side
    49,609x = 11,901,719,025
  5. Step 5: Solve for x
    x = 11,901,719,025/49,609
  6. Step 6: Final answer
    x = 239,910.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.