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Finding the Third Proportional to 74,204 and 114,852

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Solution

The third proportional to 74,204 and 114,852 is: 177,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,204 : 114,852 = 114,852 : x
  2. Step 2: Convert to fraction form
    74,204/114,852 = 114,852/x
  3. Step 3: Cross multiply
    74,204x = 114,852 × 114,852
  4. Step 4: Simplify right side
    74,204x = 13,190,981,904
  5. Step 5: Solve for x
    x = 13,190,981,904/74,204
  6. Step 6: Final answer
    x = 177,766.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.