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Finding the Third Proportional to 81,909 and 176,391.75

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Solution

The third proportional to 81,909 and 176,391.75 is: 379,861.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,909 : 176,391.75 = 176,391.75 : x
  2. Step 2: Convert to fraction form
    81,909/176,391.75 = 176,391.75/x
  3. Step 3: Cross multiply
    81,909x = 176,391.75 × 176,391.75
  4. Step 4: Simplify right side
    81,909x = 31,114,049,468.06
  5. Step 5: Solve for x
    x = 31,114,049,468.06/81,909
  6. Step 6: Final answer
    x = 379,861.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.