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Finding the Third Proportional to 49,116 and 107,226

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Solution

The third proportional to 49,116 and 107,226 is: 234,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,116 : 107,226 = 107,226 : x
  2. Step 2: Convert to fraction form
    49,116/107,226 = 107,226/x
  3. Step 3: Cross multiply
    49,116x = 107,226 × 107,226
  4. Step 4: Simplify right side
    49,116x = 11,497,415,076
  5. Step 5: Solve for x
    x = 11,497,415,076/49,116
  6. Step 6: Final answer
    x = 234,086.96

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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.