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Finding the Third Proportional to 72,927 and 161,163

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Solution

The third proportional to 72,927 and 161,163 is: 356,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,927 : 161,163 = 161,163 : x
  2. Step 2: Convert to fraction form
    72,927/161,163 = 161,163/x
  3. Step 3: Cross multiply
    72,927x = 161,163 × 161,163
  4. Step 4: Simplify right side
    72,927x = 25,973,512,569
  5. Step 5: Solve for x
    x = 25,973,512,569/72,927
  6. Step 6: Final answer
    x = 356,157.70

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.