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Finding the Third Proportional to 80,556 and 174,957

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Solution

The third proportional to 80,556 and 174,957 is: 379,983.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,556 : 174,957 = 174,957 : x
  2. Step 2: Convert to fraction form
    80,556/174,957 = 174,957/x
  3. Step 3: Cross multiply
    80,556x = 174,957 × 174,957
  4. Step 4: Simplify right side
    80,556x = 30,609,951,849
  5. Step 5: Solve for x
    x = 30,609,951,849/80,556
  6. Step 6: Final answer
    x = 379,983.51

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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.