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Finding the Third Proportional to 51,809 and 80,305.50

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Solution

The third proportional to 51,809 and 80,305.50 is: 124,475.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,809 : 80,305.50 = 80,305.50 : x
  2. Step 2: Convert to fraction form
    51,809/80,305.50 = 80,305.50/x
  3. Step 3: Cross multiply
    51,809x = 80,305.50 × 80,305.50
  4. Step 4: Simplify right side
    51,809x = 6,448,973,330.25
  5. Step 5: Solve for x
    x = 6,448,973,330.25/51,809
  6. Step 6: Final answer
    x = 124,475.93

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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.