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Finding the Third Proportional to 127,058 and 167,079

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Solution

The third proportional to 127,058 and 167,079 is: 219,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,058 : 167,079 = 167,079 : x
  2. Step 2: Convert to fraction form
    127,058/167,079 = 167,079/x
  3. Step 3: Cross multiply
    127,058x = 167,079 × 167,079
  4. Step 4: Simplify right side
    127,058x = 27,915,392,241
  5. Step 5: Solve for x
    x = 27,915,392,241/127,058
  6. Step 6: Final answer
    x = 219,705.90

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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.