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Finding the Third Proportional to 80,926 and 176,600

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Solution

The third proportional to 80,926 and 176,600 is: 385,383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,926 : 176,600 = 176,600 : x
  2. Step 2: Convert to fraction form
    80,926/176,600 = 176,600/x
  3. Step 3: Cross multiply
    80,926x = 176,600 × 176,600
  4. Step 4: Simplify right side
    80,926x = 31,187,560,000
  5. Step 5: Solve for x
    x = 31,187,560,000/80,926
  6. Step 6: Final answer
    x = 385,383.68

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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.