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Finding the Third Proportional to 127,996 and 180,167

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Solution

The third proportional to 127,996 and 180,167 is: 253,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,996 : 180,167 = 180,167 : x
  2. Step 2: Convert to fraction form
    127,996/180,167 = 180,167/x
  3. Step 3: Cross multiply
    127,996x = 180,167 × 180,167
  4. Step 4: Simplify right side
    127,996x = 32,460,147,889
  5. Step 5: Solve for x
    x = 32,460,147,889/127,996
  6. Step 6: Final answer
    x = 253,602.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.