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Finding the Third Proportional to 75,936 and 164,976

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Solution

The third proportional to 75,936 and 164,976 is: 358,421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,936 : 164,976 = 164,976 : x
  2. Step 2: Convert to fraction form
    75,936/164,976 = 164,976/x
  3. Step 3: Cross multiply
    75,936x = 164,976 × 164,976
  4. Step 4: Simplify right side
    75,936x = 27,217,080,576
  5. Step 5: Solve for x
    x = 27,217,080,576/75,936
  6. Step 6: Final answer
    x = 358,421.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.