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Finding the Third Proportional to 41,595 and 88,569

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Solution

The third proportional to 41,595 and 88,569 is: 188,591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,595 : 88,569 = 88,569 : x
  2. Step 2: Convert to fraction form
    41,595/88,569 = 88,569/x
  3. Step 3: Cross multiply
    41,595x = 88,569 × 88,569
  4. Step 4: Simplify right side
    41,595x = 7,844,467,761
  5. Step 5: Solve for x
    x = 7,844,467,761/41,595
  6. Step 6: Final answer
    x = 188,591.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.