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Finding the Third Proportional to 51,177 and 111,095

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Solution

The third proportional to 51,177 and 111,095 is: 241,164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,177 : 111,095 = 111,095 : x
  2. Step 2: Convert to fraction form
    51,177/111,095 = 111,095/x
  3. Step 3: Cross multiply
    51,177x = 111,095 × 111,095
  4. Step 4: Simplify right side
    51,177x = 12,342,099,025
  5. Step 5: Solve for x
    x = 12,342,099,025/51,177
  6. Step 6: Final answer
    x = 241,164.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.