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Finding the Third Proportional to 51,347 and 76,267

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Solution

The third proportional to 51,347 and 76,267 is: 113,281.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,347 : 76,267 = 76,267 : x
  2. Step 2: Convert to fraction form
    51,347/76,267 = 76,267/x
  3. Step 3: Cross multiply
    51,347x = 76,267 × 76,267
  4. Step 4: Simplify right side
    51,347x = 5,816,655,289
  5. Step 5: Solve for x
    x = 5,816,655,289/51,347
  6. Step 6: Final answer
    x = 113,281.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.