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Finding the Third Proportional to 75,682 and 164,464

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Solution

The third proportional to 75,682 and 164,464 is: 357,395.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,682 : 164,464 = 164,464 : x
  2. Step 2: Convert to fraction form
    75,682/164,464 = 164,464/x
  3. Step 3: Cross multiply
    75,682x = 164,464 × 164,464
  4. Step 4: Simplify right side
    75,682x = 27,048,407,296
  5. Step 5: Solve for x
    x = 27,048,407,296/75,682
  6. Step 6: Final answer
    x = 357,395.51

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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.