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Finding the Third Proportional to 51,852 and 80,208.50

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Solution

The third proportional to 51,852 and 80,208.50 is: 124,072.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,852 : 80,208.50 = 80,208.50 : x
  2. Step 2: Convert to fraction form
    51,852/80,208.50 = 80,208.50/x
  3. Step 3: Cross multiply
    51,852x = 80,208.50 × 80,208.50
  4. Step 4: Simplify right side
    51,852x = 6,433,403,472.25
  5. Step 5: Solve for x
    x = 6,433,403,472.25/51,852
  6. Step 6: Final answer
    x = 124,072.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.