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Finding the Third Proportional to 75,442.50 and 165,393

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Solution

The third proportional to 75,442.50 and 165,393 is: 362,591.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,442.50 : 165,393 = 165,393 : x
  2. Step 2: Convert to fraction form
    75,442.50/165,393 = 165,393/x
  3. Step 3: Cross multiply
    75,442.50x = 165,393 × 165,393
  4. Step 4: Simplify right side
    75,442.50x = 27,354,844,449
  5. Step 5: Solve for x
    x = 27,354,844,449/75,442.50
  6. Step 6: Final answer
    x = 362,591.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.