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Finding the Third Proportional to 70,545 and 96,745.50

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Solution

The third proportional to 70,545 and 96,745.50 is: 132,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,545 : 96,745.50 = 96,745.50 : x
  2. Step 2: Convert to fraction form
    70,545/96,745.50 = 96,745.50/x
  3. Step 3: Cross multiply
    70,545x = 96,745.50 × 96,745.50
  4. Step 4: Simplify right side
    70,545x = 9,359,691,770.25
  5. Step 5: Solve for x
    x = 9,359,691,770.25/70,545
  6. Step 6: Final answer
    x = 132,676.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.