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Finding the Third Proportional to 76,499.44 and 126,420.75

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Solution

The third proportional to 76,499.44 and 126,420.75 is: 208,919.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,499.44 : 126,420.75 = 126,420.75 : x
  2. Step 2: Convert to fraction form
    76,499.44/126,420.75 = 126,420.75/x
  3. Step 3: Cross multiply
    76,499.44x = 126,420.75 × 126,420.75
  4. Step 4: Simplify right side
    76,499.44x = 15,982,206,030.56
  5. Step 5: Solve for x
    x = 15,982,206,030.56/76,499.44
  6. Step 6: Final answer
    x = 208,919.26

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.