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Finding the Third Proportional to 75,596 and 165,556

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Solution

The third proportional to 75,596 and 165,556 is: 362,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,596 : 165,556 = 165,556 : x
  2. Step 2: Convert to fraction form
    75,596/165,556 = 165,556/x
  3. Step 3: Cross multiply
    75,596x = 165,556 × 165,556
  4. Step 4: Simplify right side
    75,596x = 27,408,789,136
  5. Step 5: Solve for x
    x = 27,408,789,136/75,596
  6. Step 6: Final answer
    x = 362,569.30

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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.