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Finding the Third Proportional to 41,012 and 89,435

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Solution

The third proportional to 41,012 and 89,435 is: 195,031.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,012 : 89,435 = 89,435 : x
  2. Step 2: Convert to fraction form
    41,012/89,435 = 89,435/x
  3. Step 3: Cross multiply
    41,012x = 89,435 × 89,435
  4. Step 4: Simplify right side
    41,012x = 7,998,619,225
  5. Step 5: Solve for x
    x = 7,998,619,225/41,012
  6. Step 6: Final answer
    x = 195,031.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.