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Finding the Third Proportional to 41,319 and 89,505

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Solution

The third proportional to 41,319 and 89,505 is: 193,885.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,319 : 89,505 = 89,505 : x
  2. Step 2: Convert to fraction form
    41,319/89,505 = 89,505/x
  3. Step 3: Cross multiply
    41,319x = 89,505 × 89,505
  4. Step 4: Simplify right side
    41,319x = 8,011,145,025
  5. Step 5: Solve for x
    x = 8,011,145,025/41,319
  6. Step 6: Final answer
    x = 193,885.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.