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Finding the Third Proportional to 75,983 and 165,344

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Solution

The third proportional to 75,983 and 165,344 is: 359,799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,983 : 165,344 = 165,344 : x
  2. Step 2: Convert to fraction form
    75,983/165,344 = 165,344/x
  3. Step 3: Cross multiply
    75,983x = 165,344 × 165,344
  4. Step 4: Simplify right side
    75,983x = 27,338,638,336
  5. Step 5: Solve for x
    x = 27,338,638,336/75,983
  6. Step 6: Final answer
    x = 359,799.41

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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.