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Finding the Third Proportional to 51,975 and 110,151

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Solution

The third proportional to 51,975 and 110,151 is: 233,443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,975 : 110,151 = 110,151 : x
  2. Step 2: Convert to fraction form
    51,975/110,151 = 110,151/x
  3. Step 3: Cross multiply
    51,975x = 110,151 × 110,151
  4. Step 4: Simplify right side
    51,975x = 12,133,242,801
  5. Step 5: Solve for x
    x = 12,133,242,801/51,975
  6. Step 6: Final answer
    x = 233,443.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.