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Finding the Third Proportional to 41,990 and 87,535

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Solution

The third proportional to 41,990 and 87,535 is: 182,480.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,990 : 87,535 = 87,535 : x
  2. Step 2: Convert to fraction form
    41,990/87,535 = 87,535/x
  3. Step 3: Cross multiply
    41,990x = 87,535 × 87,535
  4. Step 4: Simplify right side
    41,990x = 7,662,376,225
  5. Step 5: Solve for x
    x = 7,662,376,225/41,990
  6. Step 6: Final answer
    x = 182,480.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.