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Finding the Third Proportional to 72,243 and 95,859

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Solution

The third proportional to 72,243 and 95,859 is: 127,194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,243 : 95,859 = 95,859 : x
  2. Step 2: Convert to fraction form
    72,243/95,859 = 95,859/x
  3. Step 3: Cross multiply
    72,243x = 95,859 × 95,859
  4. Step 4: Simplify right side
    72,243x = 9,188,947,881
  5. Step 5: Solve for x
    x = 9,188,947,881/72,243
  6. Step 6: Final answer
    x = 127,194.99

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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.