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Finding the Third Proportional to 51,475.50 and 80,219.25

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Solution

The third proportional to 51,475.50 and 80,219.25 is: 125,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,475.50 : 80,219.25 = 80,219.25 : x
  2. Step 2: Convert to fraction form
    51,475.50/80,219.25 = 80,219.25/x
  3. Step 3: Cross multiply
    51,475.50x = 80,219.25 × 80,219.25
  4. Step 4: Simplify right side
    51,475.50x = 6,435,128,070.56
  5. Step 5: Solve for x
    x = 6,435,128,070.56/51,475.50
  6. Step 6: Final answer
    x = 125,013.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.