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Finding the Third Proportional to 84,900 and 179,092

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Solution

The third proportional to 84,900 and 179,092 is: 377,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,900 : 179,092 = 179,092 : x
  2. Step 2: Convert to fraction form
    84,900/179,092 = 179,092/x
  3. Step 3: Cross multiply
    84,900x = 179,092 × 179,092
  4. Step 4: Simplify right side
    84,900x = 32,073,944,464
  5. Step 5: Solve for x
    x = 32,073,944,464/84,900
  6. Step 6: Final answer
    x = 377,784.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.