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Finding the Third Proportional to 51,980.75 and 80,455.25

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Solution

The third proportional to 51,980.75 and 80,455.25 is: 124,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,980.75 : 80,455.25 = 80,455.25 : x
  2. Step 2: Convert to fraction form
    51,980.75/80,455.25 = 80,455.25/x
  3. Step 3: Cross multiply
    51,980.75x = 80,455.25 × 80,455.25
  4. Step 4: Simplify right side
    51,980.75x = 6,473,047,252.56
  5. Step 5: Solve for x
    x = 6,473,047,252.56/51,980.75
  6. Step 6: Final answer
    x = 124,527.78

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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.