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Finding the Third Proportional to 42,170 and 90,595

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Solution

The third proportional to 42,170 and 90,595 is: 194,627.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,170 : 90,595 = 90,595 : x
  2. Step 2: Convert to fraction form
    42,170/90,595 = 90,595/x
  3. Step 3: Cross multiply
    42,170x = 90,595 × 90,595
  4. Step 4: Simplify right side
    42,170x = 8,207,454,025
  5. Step 5: Solve for x
    x = 8,207,454,025/42,170
  6. Step 6: Final answer
    x = 194,627.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.