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Finding the Third Proportional to 52,116 and 80,649

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Solution

The third proportional to 52,116 and 80,649 is: 124,803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,116 : 80,649 = 80,649 : x
  2. Step 2: Convert to fraction form
    52,116/80,649 = 80,649/x
  3. Step 3: Cross multiply
    52,116x = 80,649 × 80,649
  4. Step 4: Simplify right side
    52,116x = 6,504,261,201
  5. Step 5: Solve for x
    x = 6,504,261,201/52,116
  6. Step 6: Final answer
    x = 124,803.54

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Why These Related Problems?

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