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Finding the Third Proportional to 75,458 and 164,020

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Solution

The third proportional to 75,458 and 164,020 is: 356,523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,458 : 164,020 = 164,020 : x
  2. Step 2: Convert to fraction form
    75,458/164,020 = 164,020/x
  3. Step 3: Cross multiply
    75,458x = 164,020 × 164,020
  4. Step 4: Simplify right side
    75,458x = 26,902,560,400
  5. Step 5: Solve for x
    x = 26,902,560,400/75,458
  6. Step 6: Final answer
    x = 356,523.63

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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.