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Finding the Third Proportional to 72,230 and 95,866

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Solution

The third proportional to 72,230 and 95,866 is: 127,236.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,230 : 95,866 = 95,866 : x
  2. Step 2: Convert to fraction form
    72,230/95,866 = 95,866/x
  3. Step 3: Cross multiply
    72,230x = 95,866 × 95,866
  4. Step 4: Simplify right side
    72,230x = 9,190,289,956
  5. Step 5: Solve for x
    x = 9,190,289,956/72,230
  6. Step 6: Final answer
    x = 127,236.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.