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Finding the Third Proportional to 34,400 and 75,279

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Solution

The third proportional to 34,400 and 75,279 is: 164,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,400 : 75,279 = 75,279 : x
  2. Step 2: Convert to fraction form
    34,400/75,279 = 75,279/x
  3. Step 3: Cross multiply
    34,400x = 75,279 × 75,279
  4. Step 4: Simplify right side
    34,400x = 5,666,927,841
  5. Step 5: Solve for x
    x = 5,666,927,841/34,400
  6. Step 6: Final answer
    x = 164,736.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.