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Finding the Third Proportional to 41,518 and 90,829

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Solution

The third proportional to 41,518 and 90,829 is: 198,706.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,518 : 90,829 = 90,829 : x
  2. Step 2: Convert to fraction form
    41,518/90,829 = 90,829/x
  3. Step 3: Cross multiply
    41,518x = 90,829 × 90,829
  4. Step 4: Simplify right side
    41,518x = 8,249,907,241
  5. Step 5: Solve for x
    x = 8,249,907,241/41,518
  6. Step 6: Final answer
    x = 198,706.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.