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Finding the Third Proportional to 51,900 and 80,270

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Solution

The third proportional to 51,900 and 80,270 is: 124,147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,900 : 80,270 = 80,270 : x
  2. Step 2: Convert to fraction form
    51,900/80,270 = 80,270/x
  3. Step 3: Cross multiply
    51,900x = 80,270 × 80,270
  4. Step 4: Simplify right side
    51,900x = 6,443,272,900
  5. Step 5: Solve for x
    x = 6,443,272,900/51,900
  6. Step 6: Final answer
    x = 124,147.84

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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.