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Finding the Third Proportional to 75,285 and 167,177.25

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Solution

The third proportional to 75,285 and 167,177.25 is: 371,232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,285 : 167,177.25 = 167,177.25 : x
  2. Step 2: Convert to fraction form
    75,285/167,177.25 = 167,177.25/x
  3. Step 3: Cross multiply
    75,285x = 167,177.25 × 167,177.25
  4. Step 4: Simplify right side
    75,285x = 27,948,232,917.56
  5. Step 5: Solve for x
    x = 27,948,232,917.56/75,285
  6. Step 6: Final answer
    x = 371,232.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.