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Finding the Third Proportional to 34,198 and 75,128

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Solution

The third proportional to 34,198 and 75,128 is: 165,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,198 : 75,128 = 75,128 : x
  2. Step 2: Convert to fraction form
    34,198/75,128 = 75,128/x
  3. Step 3: Cross multiply
    34,198x = 75,128 × 75,128
  4. Step 4: Simplify right side
    34,198x = 5,644,216,384
  5. Step 5: Solve for x
    x = 5,644,216,384/34,198
  6. Step 6: Final answer
    x = 165,045.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.