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Finding the Third Proportional to 45,077.50 and 96,408.75

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Solution

The third proportional to 45,077.50 and 96,408.75 is: 206,192.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,077.50 : 96,408.75 = 96,408.75 : x
  2. Step 2: Convert to fraction form
    45,077.50/96,408.75 = 96,408.75/x
  3. Step 3: Cross multiply
    45,077.50x = 96,408.75 × 96,408.75
  4. Step 4: Simplify right side
    45,077.50x = 9,294,647,076.56
  5. Step 5: Solve for x
    x = 9,294,647,076.56/45,077.50
  6. Step 6: Final answer
    x = 206,192.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.