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Finding the Third Proportional to 95,192 and 176,288

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Solution

The third proportional to 95,192 and 176,288 is: 326,471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,192 : 176,288 = 176,288 : x
  2. Step 2: Convert to fraction form
    95,192/176,288 = 176,288/x
  3. Step 3: Cross multiply
    95,192x = 176,288 × 176,288
  4. Step 4: Simplify right side
    95,192x = 31,077,458,944
  5. Step 5: Solve for x
    x = 31,077,458,944/95,192
  6. Step 6: Final answer
    x = 326,471.33

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.