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Finding the Third Proportional to 49,411 and 109,873

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Solution

The third proportional to 49,411 and 109,873 is: 244,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,411 : 109,873 = 109,873 : x
  2. Step 2: Convert to fraction form
    49,411/109,873 = 109,873/x
  3. Step 3: Cross multiply
    49,411x = 109,873 × 109,873
  4. Step 4: Simplify right side
    49,411x = 12,072,076,129
  5. Step 5: Solve for x
    x = 12,072,076,129/49,411
  6. Step 6: Final answer
    x = 244,319.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.