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Finding the Third Proportional to 126,564.75 and 178,008.75

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Solution

The third proportional to 126,564.75 and 178,008.75 is: 250,362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,564.75 : 178,008.75 = 178,008.75 : x
  2. Step 2: Convert to fraction form
    126,564.75/178,008.75 = 178,008.75/x
  3. Step 3: Cross multiply
    126,564.75x = 178,008.75 × 178,008.75
  4. Step 4: Simplify right side
    126,564.75x = 31,687,115,076.56
  5. Step 5: Solve for x
    x = 31,687,115,076.56/126,564.75
  6. Step 6: Final answer
    x = 250,362.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.