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Finding the Third Proportional to 75,448 and 165,956

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Solution

The third proportional to 75,448 and 165,956 is: 365,038.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,448 : 165,956 = 165,956 : x
  2. Step 2: Convert to fraction form
    75,448/165,956 = 165,956/x
  3. Step 3: Cross multiply
    75,448x = 165,956 × 165,956
  4. Step 4: Simplify right side
    75,448x = 27,541,393,936
  5. Step 5: Solve for x
    x = 27,541,393,936/75,448
  6. Step 6: Final answer
    x = 365,038.09

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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.