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Finding the Third Proportional to 52,034 and 80,250

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Solution

The third proportional to 52,034 and 80,250 is: 123,766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,034 : 80,250 = 80,250 : x
  2. Step 2: Convert to fraction form
    52,034/80,250 = 80,250/x
  3. Step 3: Cross multiply
    52,034x = 80,250 × 80,250
  4. Step 4: Simplify right side
    52,034x = 6,440,062,500
  5. Step 5: Solve for x
    x = 6,440,062,500/52,034
  6. Step 6: Final answer
    x = 123,766.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.