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Finding the Third Proportional to 41,884 and 90,329

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Solution

The third proportional to 41,884 and 90,329 is: 194,807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,884 : 90,329 = 90,329 : x
  2. Step 2: Convert to fraction form
    41,884/90,329 = 90,329/x
  3. Step 3: Cross multiply
    41,884x = 90,329 × 90,329
  4. Step 4: Simplify right side
    41,884x = 8,159,328,241
  5. Step 5: Solve for x
    x = 8,159,328,241/41,884
  6. Step 6: Final answer
    x = 194,807.76

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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.