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Finding the Third Proportional to 41,850 and 90,612

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Solution

The third proportional to 41,850 and 90,612 is: 196,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,850 : 90,612 = 90,612 : x
  2. Step 2: Convert to fraction form
    41,850/90,612 = 90,612/x
  3. Step 3: Cross multiply
    41,850x = 90,612 × 90,612
  4. Step 4: Simplify right side
    41,850x = 8,210,534,544
  5. Step 5: Solve for x
    x = 8,210,534,544/41,850
  6. Step 6: Final answer
    x = 196,189.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.