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Finding the Third Proportional to 85,251 and 179,340

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Solution

The third proportional to 85,251 and 179,340 is: 377,272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,251 : 179,340 = 179,340 : x
  2. Step 2: Convert to fraction form
    85,251/179,340 = 179,340/x
  3. Step 3: Cross multiply
    85,251x = 179,340 × 179,340
  4. Step 4: Simplify right side
    85,251x = 32,162,835,600
  5. Step 5: Solve for x
    x = 32,162,835,600/85,251
  6. Step 6: Final answer
    x = 377,272.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.