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Finding the Third Proportional to 127,972 and 167,325

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Solution

The third proportional to 127,972 and 167,325 is: 218,779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,972 : 167,325 = 167,325 : x
  2. Step 2: Convert to fraction form
    127,972/167,325 = 167,325/x
  3. Step 3: Cross multiply
    127,972x = 167,325 × 167,325
  4. Step 4: Simplify right side
    127,972x = 27,997,655,625
  5. Step 5: Solve for x
    x = 27,997,655,625/127,972
  6. Step 6: Final answer
    x = 218,779.54

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.