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Finding the Third Proportional to 72,262 and 95,879

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Solution

The third proportional to 72,262 and 95,879 is: 127,214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,262 : 95,879 = 95,879 : x
  2. Step 2: Convert to fraction form
    72,262/95,879 = 95,879/x
  3. Step 3: Cross multiply
    72,262x = 95,879 × 95,879
  4. Step 4: Simplify right side
    72,262x = 9,192,782,641
  5. Step 5: Solve for x
    x = 9,192,782,641/72,262
  6. Step 6: Final answer
    x = 127,214.62

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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.