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Finding the Third Proportional to 75,192 and 178,134

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Solution

The third proportional to 75,192 and 178,134 is: 422,009.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,192 : 178,134 = 178,134 : x
  2. Step 2: Convert to fraction form
    75,192/178,134 = 178,134/x
  3. Step 3: Cross multiply
    75,192x = 178,134 × 178,134
  4. Step 4: Simplify right side
    75,192x = 31,731,721,956
  5. Step 5: Solve for x
    x = 31,731,721,956/75,192
  6. Step 6: Final answer
    x = 422,009.28

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.