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Finding the Third Proportional to 72,036 and 95,589

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Solution

The third proportional to 72,036 and 95,589 is: 126,842.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,036 : 95,589 = 95,589 : x
  2. Step 2: Convert to fraction form
    72,036/95,589 = 95,589/x
  3. Step 3: Cross multiply
    72,036x = 95,589 × 95,589
  4. Step 4: Simplify right side
    72,036x = 9,137,256,921
  5. Step 5: Solve for x
    x = 9,137,256,921/72,036
  6. Step 6: Final answer
    x = 126,842.92

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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.