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Finding the Third Proportional to 79,264 and 123,751

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Solution

The third proportional to 79,264 and 123,751 is: 193,206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,264 : 123,751 = 123,751 : x
  2. Step 2: Convert to fraction form
    79,264/123,751 = 123,751/x
  3. Step 3: Cross multiply
    79,264x = 123,751 × 123,751
  4. Step 4: Simplify right side
    79,264x = 15,314,310,001
  5. Step 5: Solve for x
    x = 15,314,310,001/79,264
  6. Step 6: Final answer
    x = 193,206.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.