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Finding the Third Proportional to 75,232 and 165,296

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Solution

The third proportional to 75,232 and 165,296 is: 363,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,232 : 165,296 = 165,296 : x
  2. Step 2: Convert to fraction form
    75,232/165,296 = 165,296/x
  3. Step 3: Cross multiply
    75,232x = 165,296 × 165,296
  4. Step 4: Simplify right side
    75,232x = 27,322,767,616
  5. Step 5: Solve for x
    x = 27,322,767,616/75,232
  6. Step 6: Final answer
    x = 363,180.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.