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Finding the Third Proportional to 41,318 and 90,337

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Solution

The third proportional to 41,318 and 90,337 is: 197,511.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,318 : 90,337 = 90,337 : x
  2. Step 2: Convert to fraction form
    41,318/90,337 = 90,337/x
  3. Step 3: Cross multiply
    41,318x = 90,337 × 90,337
  4. Step 4: Simplify right side
    41,318x = 8,160,773,569
  5. Step 5: Solve for x
    x = 8,160,773,569/41,318
  6. Step 6: Final answer
    x = 197,511.34

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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.