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Finding the Third Proportional to 72,024 and 95,573

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Solution

The third proportional to 72,024 and 95,573 is: 126,821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,024 : 95,573 = 95,573 : x
  2. Step 2: Convert to fraction form
    72,024/95,573 = 95,573/x
  3. Step 3: Cross multiply
    72,024x = 95,573 × 95,573
  4. Step 4: Simplify right side
    72,024x = 9,134,198,329
  5. Step 5: Solve for x
    x = 9,134,198,329/72,024
  6. Step 6: Final answer
    x = 126,821.59

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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.