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Finding the Third Proportional to 80,903 and 176,010

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Solution

The third proportional to 80,903 and 176,010 is: 382,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,903 : 176,010 = 176,010 : x
  2. Step 2: Convert to fraction form
    80,903/176,010 = 176,010/x
  3. Step 3: Cross multiply
    80,903x = 176,010 × 176,010
  4. Step 4: Simplify right side
    80,903x = 30,979,520,100
  5. Step 5: Solve for x
    x = 30,979,520,100/80,903
  6. Step 6: Final answer
    x = 382,921.77

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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.