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Finding the Third Proportional to 72,164 and 167,063

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Solution

The third proportional to 72,164 and 167,063 is: 386,758.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,164 : 167,063 = 167,063 : x
  2. Step 2: Convert to fraction form
    72,164/167,063 = 167,063/x
  3. Step 3: Cross multiply
    72,164x = 167,063 × 167,063
  4. Step 4: Simplify right side
    72,164x = 27,910,045,969
  5. Step 5: Solve for x
    x = 27,910,045,969/72,164
  6. Step 6: Final answer
    x = 386,758.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.