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Finding the Third Proportional to 85,163 and 179,148

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Solution

The third proportional to 85,163 and 179,148 is: 376,853.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,163 : 179,148 = 179,148 : x
  2. Step 2: Convert to fraction form
    85,163/179,148 = 179,148/x
  3. Step 3: Cross multiply
    85,163x = 179,148 × 179,148
  4. Step 4: Simplify right side
    85,163x = 32,094,005,904
  5. Step 5: Solve for x
    x = 32,094,005,904/85,163
  6. Step 6: Final answer
    x = 376,853.87

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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.