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Finding the Third Proportional to 75,578 and 164,764

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Solution

The third proportional to 75,578 and 164,764 is: 359,194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,578 : 164,764 = 164,764 : x
  2. Step 2: Convert to fraction form
    75,578/164,764 = 164,764/x
  3. Step 3: Cross multiply
    75,578x = 164,764 × 164,764
  4. Step 4: Simplify right side
    75,578x = 27,147,175,696
  5. Step 5: Solve for x
    x = 27,147,175,696/75,578
  6. Step 6: Final answer
    x = 359,194.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.