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Finding the Third Proportional to 50,622 and 80,454.25

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Solution

The third proportional to 50,622 and 80,454.25 is: 127,867.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,622 : 80,454.25 = 80,454.25 : x
  2. Step 2: Convert to fraction form
    50,622/80,454.25 = 80,454.25/x
  3. Step 3: Cross multiply
    50,622x = 80,454.25 × 80,454.25
  4. Step 4: Simplify right side
    50,622x = 6,472,886,343.06
  5. Step 5: Solve for x
    x = 6,472,886,343.06/50,622
  6. Step 6: Final answer
    x = 127,867.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.