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Finding the Third Proportional to 84,144 and 179,514

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Solution

The third proportional to 84,144 and 179,514 is: 382,977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,144 : 179,514 = 179,514 : x
  2. Step 2: Convert to fraction form
    84,144/179,514 = 179,514/x
  3. Step 3: Cross multiply
    84,144x = 179,514 × 179,514
  4. Step 4: Simplify right side
    84,144x = 32,225,276,196
  5. Step 5: Solve for x
    x = 32,225,276,196/84,144
  6. Step 6: Final answer
    x = 382,977.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.