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Finding the Third Proportional to 41,930 and 90,424

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Solution

The third proportional to 41,930 and 90,424 is: 195,003.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,930 : 90,424 = 90,424 : x
  2. Step 2: Convert to fraction form
    41,930/90,424 = 90,424/x
  3. Step 3: Cross multiply
    41,930x = 90,424 × 90,424
  4. Step 4: Simplify right side
    41,930x = 8,176,499,776
  5. Step 5: Solve for x
    x = 8,176,499,776/41,930
  6. Step 6: Final answer
    x = 195,003.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.