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Finding the Third Proportional to 62,101.69 and 100,419.75

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Solution

The third proportional to 62,101.69 and 100,419.75 is: 162,380.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,101.69 : 100,419.75 = 100,419.75 : x
  2. Step 2: Convert to fraction form
    62,101.69/100,419.75 = 100,419.75/x
  3. Step 3: Cross multiply
    62,101.69x = 100,419.75 × 100,419.75
  4. Step 4: Simplify right side
    62,101.69x = 10,084,126,190.06
  5. Step 5: Solve for x
    x = 10,084,126,190.06/62,101.69
  6. Step 6: Final answer
    x = 162,380.87

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.